Home
Class 12
MATHS
To prove that tan(1/2sin^-1((2x)/(1+x^2)...

To prove that `tan(1/2sin^-1((2x)/(1+x^2))+1/2cos^-1((1-x^2)/(1+x^2))=(2x)/(1-x^2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

To prove that tan((1)/(2)sin^(-1)((2x)/(1+x^(2)))+(1)/(2)cos^(-1)((1-x^(2))/(1+x^(2)))=(2x)/(1-x^(2))

The value of tan{1/2 sin^-1 ((2x)/(1+x^2))+1/2 cos^-1 ((1-x^2)/(1+x^2))} is (A) (2x)/(1-x^2) (B) (2x)/(1-x^2) (C) not defined if x.>=1 (D) 0

Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

Prove that 2tan^(-1)1/x=sin^(-1)((2x)/(x^(2)+1))

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

tan((1)/(2) sin ^(-1)""(2x)/(1+x^(2))+(1)/(2)cos^(-1)((1-x^(2))/(1+x^(2))))=(2x)/(1-x^(2))(|x|ne 1)

Prove that 2tan^(-1)((1+x)/(1-x))+sin^(-1)((1-x^(2))/(1+x^(2)))=pi

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