# Important Questions for CBSE Class 12 Maths Chapter 2 - Inverse Trigonometric Functions

## CBSE Class 12 Maths Chapter-2 Important Questions – Free PDF Download

Free PDF download of Important Questions for CBSE Class 12 Maths Chapter 2 – Inverse Trigonometric Functions prepared by expert Maths teachers from latest edition of CBSE(NCERT) books, On CoolGyan.Org to score more marks in CBSE board examination.

## 1 Mark Questions

1. Find the principal value of sin-1
Ans. Let sin-1

We know that

There for P.V. of

2. Find the value of sin-1
Ans.

When

3. Find the value of
Ans.

4. Find the value of sin
Ans.
=1

5. tan-1evaluate
Ans.

6. Find the principal value of
.
Ans. Let

7. Find the value of.
Ans.

Which is principal branch of cos-1x

8. Find the value of
Ans.

9. Prove that .

Ans.

10. Find the principal value of .
Ans. Let

11. Find the value of.
Ans.

12. Find the value of
Ans.

13. Prove that
Ans. Put

13.
Ans.

14. Find the principal value of .
Ans. Let

15. Find the value of.
Ans.

16. Find the value of
Ans.

17. Prove that
Ans.

18.
Ans. Put

19. Find the principal value of . Ans. Let

20. Find the value of
Ans.

21. Find the value of .
Ans.

22. Find tan-1 .
Ans.

23. Find the value of .
Ans.

## 4 Marks Questions

1. Find the value of
Ans.
As

=

2. Show that
Ans. Let

3. Prove that
Ans. L.H.S =

4. Prove that
Ans. L.H.S =

L.H.S = R.H.S

5. Simplify
Ans. L.H.S =

L.H.S = R.H.S

6. Explore in the simplest form.
Ans.

Dividing N and b by

7. Show that.
Ans.

8. Prove that
Ans.

9. Write in simplest form that
Ans.

10. Prove
Or Prove that
Ans.

OR
Put

11. Prove
Ans:

12. Simplify.
Ans:

13. Prove that

Ans.Put

14. If
Ans.

15. If a>b>c>0 prove that

Ans.

16. Find the value
Ans.
Put

17. Solve.
Ans.

18. Prove that
Ans.

19. Find the value of
Ans. Let

20. If
Prove that =sin2
Ans. s

Squaring both side

21. If .
Ans.

22. Show that

Ans. Let

23. Solve
Ans.

24. Find x if .
Ans.

25. Prove that:

Ans.