Home
Class 12
MATHS
3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)...

3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)((1-x^(2))/(1+x^(2))) +2 tan ^(-1)((2 x)/(1-x^(2)))=(pi)/(3) ( then ) x=

A

`(a-b)/(1-a b)`

B

`(1+a b)/(a-b)`

C

`(a b-1)/(a+b)`

D

`(a-b)/(1+a b)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

"tan"1/2["sin"^(-1)(2x)/(1+x^(2))+"cos"^(-1)(1-y^(2))/(1+y^(2))]

If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 tan^(-1) x , then x is

If u=sin^(-1)((2x)/(1+x^(2))) and v=tan^(-1)((2x)/(1-x^(2))) , then (du)/(dv) is :

If sin^(-1) ((2a)/(1+a^2))+cos^(-1) ((1-a^2)/(1+a^2))=tan^(-1) ((2x)/(1-x^2)) , where a, x in (0,1), then the value of x is :

If sin ^(-1) x+cot ^(-1) (1)/(2)=(pi)/(2), then x=

If cos ^(-1) x+sin ^(-1) (x)/(2)=(pi)/(6) then x=

If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=