Class 12 Mathematics Important Questions Chapter 2 – Inverse Trigonometric Functions
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. 
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