Exercise 2.2
NCERT solutions for Class 12 Ch- 2 Maths
NCERT Solutions class 12 Maths Chapter 2 Inverse Trigonometric Function
Prove the following:
1. 
Ans. We know that: 
Putting 
Putting ,
Proved.
2. 
Ans. We know that: 
Putting 
Putting ,
Proved.
3. 
Ans. L.H.S. = 
= 
= 
= 
= 
= R.H.S.
Proved.
4. 
Ans. L.H.S. = 
= 
= 
= 
= 
= 
= R.H.S.
Proved.
Write the following functions in the simplest form:
5. 
Ans. Putting 
so that 
= 
= 
= 
= 
= 
= 
= 
6. 
Ans. Putting 
so that 
= 
= 
= 
= 
= 
= 
7. 
Ans. 
= 
= 
= 
8. 
Ans. 
Dividing the numerator and denominator by 
= 
= 
= 
= 
9. 
Ans. Putting 
so that 
= 
= 
= 
= 
=
10. 
Ans. 
= 
[Dividing numerator and denominator by 
]
Putting 
so that 
= 
= 
= 
= 
Find the values of each of the following:
11. 
Ans.
= 
= 
= 
= 
= 
= 
12. 
Ans. = 
13. 
Ans. Putting and 
= 
= 
= 
= 
= 
= 
14. If 
then find the value of 
Ans. Given: 
15. If 
then find the value of
Ans. Given: 
Find the values of each of the expressions in Exercises 16 to 18.
16. 
Ans.
= 
= 
= 
= 
17. 
Ans.
= 
= 
= 
= 
= 
18. 
Ans. Putting 
and 
so that 
and 
Now, 
= 
And 
and 
= 
= 
= 
= 
= 
19. 
is equal to:
(A) 
(B) 
(C)
(D) 
Ans.
= 
= 
Therefore, option (B) is correct.
20. 
is equal to:
(A) 
(B) 
(C) 
(D) 1
Ans. 
= 
= 
= 
= 
Therefore, option (D) is correct.
NCERT Solutions class 12 Maths Exercise 2.2
21. 
is equal to:
(A) 
(B) 
(C) 
(D) 
Ans.
= 
= 
= 
= 
= 
= 
Therefore, option (B) is correct.