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

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

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

NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.2 are the part of NCERT Solutions for Class 11 Maths. Here you can find the 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, sec2 x – tan2 x = 1

Therefore, sec2 x = 1 + tan2 x

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

sec2 x = 1 + (-5/12)2

sec2 x = 1 + 25/144

           =169/144 

sec x = ± 13/12

Since x lies in the 2nd 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 (19π/3)

Solution.


Ex 3.2 Class 11 Maths Question 9.

sin (−11π/3)

Solution.


Ex 3.2 Class 11 Maths Question 10.

cot (−15π/4)

Solution.


You can also like these:

NCERT Solutions for Maths Class 9

NCERT Solutions for Maths Class 10

NCERT Solutions for Maths Class 12

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