**NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.2**

**Find the
values of other five trigonometric functions in Exercises 1 to 5.
**

**Ex 3.2
Class 11 Maths Question 1.**

cos x = −1/2, x lies in third quadrant.

**Solution.**

**Ex 3.2 Class 11 Maths Question 2.**

sin x = 3/5, x lies in second quadrant.

**Solution.**

**Ex 3.2 Class 11 Maths Question 3.**

cot x = 3/4, x lies in third quadrant.

**Solution.**

**Ex 3.2 Class 11 Maths Question 4.**

sec x = 13/5, x lies in fourth quadrant.

**Solution.**

**Ex 3.2 Class 11 Maths Question 5.**

tan x = −5/12, x lies in second quadrant.

**Solution.**

We have, tan x = -5/12

Therefore,
cot x = 1/tan x =1/(-5/12) = -12/5

Now,
sec^{2 }x – tan^{2 }x = 1

Therefore,
sec^{2} x = 1 + tan^{2} x

Substituting tan x = -5/12 in the formula, we
get

sec^{2} x = 1 + (-5/12)^{2}

sec^{2} x = 1 + 25/144

=169/144

sec x = ± 13/12

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

sec x = -13/12

Therefore, cos x = 1/sec x = -12/13

Now, tan x = sin x / cos x

Therefore, sin x = tan x cos x

Hence, sin x = (-5/12) × (-12/13) = (5/13)

And cosec x = 1/sin x = 13/5

**Find the values of the
trigonometric functions in Exercises 6 to 10.
**

**Ex 3.2 Class 11
Maths Question 6.**

sin 765°

**Solution.**

**Ex 3.2 Class 11
Maths Question 7.**

cosec (-1410°)

**Solution.**

**Ex 3.2 Class 11 Maths Question 8.**

tan (19Ï€/3)

**Solution.**

**Ex 3.2 Class 11 Maths Question 9.**

sin (−11Ï€/3)

**Solution.**

**Ex 3.2 Class 11 Maths Question 10.**

cot (−15Ï€/4)

**Solution.**

**Related Links:**

**NCERT Solutions for Maths Class 9**