## EXERCISE 3.2

#### Page No 63:

#### Question 1:

Find the values of other five trigonometric functions if , *x* lies in third quadrant.

#### Answer:

Since *x* lies in the 3^{rd} quadrant, the value of sin *x* will be negative.

#### Question 2:

Find the values of other five trigonometric functions if , *x* lies in second quadrant.

#### Answer:

Since *x* lies in the 2^{nd} quadrant, the value of cos *x* will be negative

#### Question 3:

Find the values of other five trigonometric functions if , *x* lies in third quadrant.

#### Answer:

Since *x *lies in the 3^{rd} quadrant, the value of sec *x* will be negative.

#### Question 4:

Find the values of other five trigonometric functions if , *x* lies in fourth quadrant.

#### Answer:

Since *x* lies in the 4^{th} quadrant, the value of sin *x* will be negative.

#### Question 5:

Find the values of other five trigonometric functions if , *x* lies in second quadrant.

#### Answer:

Since *x* lies in the 2^{nd} quadrant, the value of sec *x* will be negative.

∴sec *x* =

#### Question 6:

Find the value of the trigonometric function sin 765°

#### Answer:

It is known that the values of sin *x *repeat after an interval of 2π or 360°.

#### Question 7:

Find the value of the trigonometric function cosec (–1410°)

#### Answer:

It is known that the values of cosec *x *repeat after an interval of 2π or 360°.

#### Question 8:

Find the value of the trigonometric function

#### Answer:

It is known that the values of tan *x *repeat after an interval of π or 180°.

#### Question 9:

Find the value of the trigonometric function

#### Answer:

It is known that the values of sin *x *repeat after an interval of 2π or 360°.

#### Question 10:

Find the value of the trigonometric function

#### Answer:

It is known that the values of cot *x *repeat after an interval of π or 180°.