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R S AGGARWAL AND V AGGARWAL Solutions Mathematics Class 10 Chapter 8 Trigonometric Identities

Chapter 8 – Trigonometric Identities Exercise Ex. 8A

Question 1

Prove the following identities:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 1

(i)        R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

            R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii)      R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 2

Prove the following identities:

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(iii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 2

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(iii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 3

Prove the following identities:

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 3

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 4

Prove the following identities:

(i) R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii) R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 4

(i)

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

 

(ii)

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 9

Prove the following identities:

(i)  R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 9

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

LHS = RHS

Question 10

Prove the following identities:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 10

(i)    LHS = R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)             R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Hence, LHS = RHS

Question 11

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

LHS = RHS

Question 12

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 13

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 13

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 14

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 14

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                                         R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesRHS = LHS

Question 15

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 15

LHS = R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesRHS = LHS

Question 16

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 17

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesRHS = LHS

Question 18

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 18

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 19

Prove the following identities:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 19

(i)To prove R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

     We know, R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

        R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

      Therefore, LHS = RHS

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

      R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

      R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

      Therefore, LHS = RHS

(iii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

      R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 20

Prove the following identity:

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii) R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 20

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                 R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 21

Prove the following identities:

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 21

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii) LHS =  R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

           R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

        R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 22

Prove the following identities:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 22

(i) 

   LHS =

       R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Hence, LHS = RHS

(ii)

                  R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 23

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 23

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 24

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 24

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 25

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 25

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 26

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 26

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 27

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 27

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 28

Prove the following identities:

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 28

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 29

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 29

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 30

Prove the following identities:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 30

(i)

                   R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

             Further,

            R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                                           R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                                           R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                                R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

(ii)

             LHS = R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Further,

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 31

Prove the following identities:

(i)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 31

(i)

                         R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

             On dividing the numerator and denominator of LHS by cosR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities,We get

                  R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(ii)

                         R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

            On dividing the numerator and denominator of LHS by cosR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities,We get

                R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                    R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                    R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

                        R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 32

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 32

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric IdentitiesLHS = RHS

Question 33

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 33

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 34

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 34

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 35

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 35

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 36

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 36

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 37

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 37

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 38

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 38

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 39

Prove the following identity:

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 39

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 40

Show
that none of the following is an identity:

cos2
θ
+ cos θ = 1

Solution 40

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 41

sin2
θ
+ sin θ
= 2

Solution 41

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 42

tan2
θ
+ sin θ
= cos2 θ

Solution 42

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 43

Prove
that:

(sin
θ
– 2sin3 θ)
= (2cos3 θ
cos θ)tan θ

Solution 43

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Chapter 8 – Trigonometric Identities Exercise Ex. 8B

Question 1

If a cosR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities + b sinR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities = m and a sinR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities – b cosR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities = n, prove that

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities.

Solution 1

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 2

If x = a sec R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities + b tanR-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities and y = a tan R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities + b sec R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities, prove that

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 2

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 3

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 3

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 4

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 4

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 6

If R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identitiesprove that R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 9

If
(cosec θ
– sin θ)
= a3 and (sec θ – cos θ) = b3, prove that a2b2
(a2 + b2) = 1.

Solution 9

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 10

If
(2sin θ
+ 3cos θ)
= 2, prove that (3sin θ – 2cos θ) = ±
3.

Solution 10

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 13

If
sec θ
+ tan θ
= p, prove that

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 13

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 14

If
sec θ
+ tan θ
= p, prove that

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 14

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 15

If
sec θ
+ tan θ
= p, prove that

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 15

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Chapter 8 – Trigonometric Identities Exercise Ex. 8C

Question 1

Write
the value of (1 – sin2 θ) sec2 θ.

Solution 1

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 2

Write
the value of (1 – cos2θ) cosec2 θ.

Solution 2

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 3

Write
the value of (1 + tan2 θ) cos2 θ.

Solution 3

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 4

Write
the value of (1 + cot2 θ) sin2 θ.

Solution 4

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 7

Write
the value of sin θ cos (90– θ)
+ cos θ sin (90
– θ).

Solution 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 8

Write
the value of cosec2 (90 – θ)
– tan2 θ.

Solution 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 9

Write
the value of sec2 θ (1 + sin θ)(1 – sin θ).

Solution 9

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 10

Write
the value of cosec2 θ(1 + cos θ)(1 – cos θ)

Note:
Question modified

Solution 10

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 11

Write
the value of sin2 θ cos2 θ (1
+ tan2 θ)(1 + cot2 θ).

Solution 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 12

Write
the value of (1 + tan2 θ)(1
+ sin θ)(1
– sin θ).

Solution 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 13

Write
the value of 3cot2 θ – 3cosec2θ.

Solution 13

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 14

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 14

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 15

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 15

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 18

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 18

 R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 19

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 19

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 20

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 20

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 21

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 21

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 22

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 22

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 23

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 23

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 24

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 24

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 25

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 25

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 26

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 26

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 27

Write
the value of tan 10ᵒ tan 20ᵒ
tan 70ᵒ
tan 80ᵒ.

Solution 27

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 28

Write
the value of tan 1ᵒ tan 2ᵒ
… tan 89ᵒ.

Solution 28

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 29

Write
the value of cos 1ᵒ
cos 2ᵒ…cos 180ᵒ.

Solution 29

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 30

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 30

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 31

If sin θ = cos (θ – 45ᵒ),  where θ is a acute, find the value of θ.

Solution 31

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 32

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 32

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 33

Find
the value of sin 48ᵒ sec 42ᵒ
+ cos 48ᵒ cosec 42
.

Solution 33

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 34

If
x = a sin θ and y = b cos
θ,
write the value of (b2x2 + a2y2).

Solution 34

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 35

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 35

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 36

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 36

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 37

If sec θ + tan θ
= x , find the value of sec θ.

Solution 37

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 38

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 38

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 39

If
sin θ
= x, write the value of cot θ.

Solution 39

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 40

If
sec θ
= x, write the value of tan θ.

Solution 40

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Chapter 8 – Trigonometric Identities Exercise FA

Question 1

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 1

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 2

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 2

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 3

If cos A + cos2
A = 1 then (sin2 A + sin4 A) =
?

(a) R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(b) 2

(c) 1

(d) 4

Solution 3

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 4

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 4

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 9

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 9

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 10

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 10

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 13

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 13

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 14

Prove that (sin 32° cos 58° + cos 32° sin 58°) = 1.

Solution 14

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 15

If x = a sin θ + b cos
θ and y = a cos θ – b sin θ, prove that x2
+ y2 = a2 + b2.

Solution 15

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 18

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 18

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 19

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 19

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 20

If sec 5A = cosec (A – 36°) and 5A is an acute angle, show that A = 21°

Solution 20

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Chapter 8 – Trigonometric Identities Exercise MCQ

Question 1

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 1

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 2

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(a)0

(b) 1

(c) 2

(d) none of these

Solution 2

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 3

tan 10° tan 15° tan 75° tan 80° = ?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 3

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 4

tan 5° tan 25° tan 30° tan 65° tan 85° = ?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 4

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 5

cos 1° cos 2° cos 3° …… cos 180° = ?

(a) -1

(b) 1

(c) 0

(d) R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 5

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 6

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 7

sin 47° cos 43° + cos 47° sin 43° = ?

(a) sin 4°

(b) cos 4°

(c) 1

(d) 0

Solution 7

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 8

sec 70° sin 20° + cos 20° cosec 70° = ?

(a) 0

(b) 1

(c) -1

(d) 2

Solution 8

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 9

If sin 3A = cos (A – 10o) and 3A is acute then A = ?

(a) 35°

(b) 25°

(c) 20°

(d) 45°

Solution 9

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 10

If sec 4A = cosec (A – 10°) and 4A is acute then A = ?

(a) 20°

(b) 30°

(c) 40°

(d) 50°

Solution 10

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 11

If A and B are acute angles such that sin A = cos B then (A + B) =?

(a) 45°

(b) 60°

(c) 90°

(d) 180°

Solution 11

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 12

If cos (𝛼 + 𝛽) = 0 then sin (𝛼 – 𝛽) = ?

(a) sin 𝛼

(b) cos 𝛽

(c) sin 2𝛼

(d) cos 2𝛽

Solution 12

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 13

sin (45° + θ) – cos (45°θ) = ?

(a) 2 sin θ

(b) 2 cos θ

(c) 0

(d) 1

Solution 13

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 14

sec210° – cot2 80° = ?

(a) 1

(b) 0

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 14

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 15

cosec2 57° – tan2 33° = ?

(a) 0

(b) 1

(c) -1

(d) 2

Solution 15

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 16

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(a) 0

(b) 1

(c) 2

(d) 3

Solution 17

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 18

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(a) 0

(b) 1

(c) -1

(d) none of these

Solution 18

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 19

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 19

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 20

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(a) 30°

(b) 45°

(c) 60°

(d) 90°

Solution 20

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 21

If 2cos 3θ = 1 then θ = ?

(a) 10°

(b) 15°

(c) 20°

(d) 30°

Solution 21

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 22

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(a) 15°

(b) 30°

(c) 45°

(d) 60°

Solution 22

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 23

If tan x = 3cot x then x = ?

(a) 45°

(b) 60°

(c) 30°

(d) 15°

Solution 23

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 24

If x tan 45° cos 60° = sin 60° cot 60° then x = ?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 24

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 25

If tan2 45° – cos2 30° = x sin 45° cos 45° then x = ?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 25

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 26

sec2 60° – 1 = ?

(a) 2

(b) 3

(c) 4

(d) 0

Solution 26

Correct option: (b)

sec2 60° – 1 = (2)2 – 1 = 4 – 1 = 3

Question 27

(cos 0° + sin 30° + sin 45°)(sin 90° + cos 60°cos 45°) =?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 27

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 28

sin230° + 4cot2 45° – sec2 60° = ?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 28

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 29

3cos2 60° + 2cot2 30° – 5sin2 45° = ?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 29

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 30

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 30

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 31

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 31

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 32

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 32

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 33

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 33

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 34

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 34

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 35

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 35

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 36

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 36

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 37

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 37

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 38

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 38

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 39

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 39

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 40

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 40

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 41

If (tan θ + cot θ) = 5 then (tan2 θ + cot2 θ) = ?

(a) 27

(b) 25

(c) 24

(d) 23

Solution 41

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 42

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 42

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 43

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 43

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 44

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 44

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 45

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 45

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 46

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 46

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 47

If sin A + sin2 A = 1 then cos2 A + cos4 A = ?

(a) R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(b) 1

(c) 2

(d) 3

Solution 47

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 48

If cos A + cos2 A = 1 then sin2 A + sin4 A = ?

(a) 1

(b) 2

(c) 4

(d) 3

Solution 48

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 49

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(a) sec A + tan A

(b) sec A – tan A

(c) sec A tan A

(d) none of these

Solution 49

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 50

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

(a) cosec A – cot A

(b) cosec A + cot A

(c) cosec A cot A

(d) none of these

Solution 50

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 51

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 51

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 52

(cosec θ – cot θ)2 = ?

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Solution 52

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

Question 53

(sec A + tan A)(1 – sin A) = ?

(a) sin A

(b) cos A

(c) sec A

(d) cosec A

Solution 53

R-s-aggarwal-and-v-aggarwal Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Identities

 

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