# R S AGGARWAL AND V AGGARWAL Solutions for Class 10 Maths Chapter 5 – Trigonometric Ratios

## Chapter 5 – Trigonometric Ratios Exercise Ex. 5

If , find the values of all T-ratios of .

Given:

Let us draw a ABC in which B = 90^{o} and BAC =

If , find the values of all T-ratios of

Let us draw a ABC in which B = 90^{o} and BAC =

By Pythagoras theorem, we have

If cot = 2, find the values of all T-ratios of .

If find the values of all T-ratios of .

Let us draw a ABC in which B = 90^{o} and BAC =

If cos = 0.6, show that (5 sin – 3 tan ) = 0.

Given:

Let us draw a triangle ABC in which B = 90^{o} and A =

If show that

Let us draw a ABC in which B = 90^{o} and A =

If show that

Let us draw a ABC in which B = 90^{o} and A =

If show that

Given:

Let us draw a triangle ABC in which B = 90^{o} and A =

By Pythagoras theorem, we have

If show that

Let us draw a ABC in which B = 90^{o} and BAC =

If show that

Given:

Let us draw a triangle ABC in which B = 90^{o} and A =

By Pythagoras theorem, we have

If 3 cot = 2, show that

Given:

Let us draw a triangle ABC in which B = 90^{o} and A =

By Pythagoras theorem, we have

If verify that

Given:

Let us draw a triangle ABC in which B = 90^{o} and A =

By Pythagoras theorem, we have

In

the adjoining figure, ∠B =90°, ∠BAC

=θ^{0},

BC = CD = 4 cm and AD = 10 cm. Find (i) sin θ

and (ii) cos θ.

In a ABC, it Is given that B = 90^{o}, AB = 24 cm and BC = 7cm.

Find the value of (i) sin A(ii) cos A(iii) sin C(iv) cos C.

Given: ABC in which B = 90^{o}, AB = 24 cm and BC = 7cm

By applying Pythagoras theorem

(i)For T-ratio of A , we have

Base AB= 24cm

Perpendicular BC = 7cm

Hypotenuse AC = 25cm

(ii)For T-ratio of C , we have

Base BC = 7 cm

Perpendicular AB= 24cm

Hypotenuse AC = 25cm

In

a ∆ABC,

∠B

= 90^{0}, AB = 12 cm and BC = 5 cm.

Find

(i) cos A (ii) cosec A

(iii) cos C (iv) cosec C.

If

∠A

and ∠B

are acute angles such that sin A = sin B then prove that ∠A

= ∠B.

Consider two right triangles XAY and WBZ such that sin A = sin B

If

∠A

and ∠B

are acute angles such that tan A = tan B then prove that ∠A

= ∠B.

Consider two right triangles XAY and WBZ such that tan A = tan B

In

a right ∆ABC, right-angled at B, if tan A = 1

then verify that 2 sin A. cos A = 1.