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


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

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CBSE 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. 



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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.