NCERT solution class 11 chapter 3 Trigonometric Functions exercise 3.2 mathematics

EXERCISE 3.2

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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°.

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