Home
Class 12
MATHS
Find the value of x satisfying sin^(-...

Find the value of x satisfying
`sin^(-1)((2a)/(1+a^(2)))+cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1) ((2x)/(1-x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
`x=(1)/(4)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the value of x such that cos (sin^(-1)x)=(1)/(2) .

Find the derivate of : y = sin^(–1) (2x √(1−x2))

Find the derivate of y = (3 - 2x)sin^(-1)2x .

Find the value of "tan" (1)/(2)[ "sin"^(-1)(2x)/(1+x^(2)) +"cos"^(-1) (1-y^(2))/(1+y^(2))], |x| lt 1, y gt 0 and xy lt 1 .

Find the derivate of : y = x cos^-1 (frac(1-x^2)(1+x^2))

Solve for x, tan^(-1)((2x)/(1-x^(2)))+cot^(-1)((1-x^(2))/(2x))=(pi)/(3), -1 lt x lt 1 .

Find the derivative of : y = cos{2 sin^-1(cos x)}

Find the value of cos^(-1)x +cos^(-1) sqrt(1-x^(2)) .