Home
Class 12
MATHS
If sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-...

If `sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2)))`, then what os the value of x ?

A

a

B

b

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^2))=tan^(-1)((2x)/(1-x^(2))) then what is the value of x?

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

If sin^(-1)((2a)/(1+a^(2)))+sin^(-1)((2b)/(1+b^(2)))=2tan^(-1)x

If |a|lt1| b|lt1and|x|lt1 then the solution of sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2))) is

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

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)(2x)/(1+x^(2))=tan^(-1)(2x)/(1-x^(2)), then find the value of x.