NCERT Solutions for Class 11 Maths Chapter 3 – Trigonometric Functions Ex 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 3rd 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 2nd 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 3rd 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 4th 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 2nd 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°.
