" 1."sin^(-1)2x sqrt(1-x^(2))

Prove that 2sin^(-1)x=sin^(-1)[2x sqrt(1-x^(2))]

The set of values of 'x' for which the formula 2sin^(-1)x=sin^(-1)2x sqrt(1-x^(2)) is true is

Solve 2cos^(-1)x=sin^(-1)(2x sqrt(1-x^(2)))

2 cos^(-1) x = sin^(-1) (2x sqrt(1 - x^(2))) is valid for all values of x satisfying

The equation 2 cos^(-1)x=sin^(-1)(2x sqrt(1-x^(2))) is valid for all values of x satisfying

(tan^(-1)x)/(sqrt(1-x^(2))) withrespectto sin ^(-1)(2x sqrt(1-x^(2)))

If cos^(-1)x=alpha, (0 lt x lt 1) and sin^(-1)(2x sqrt(1-x^(2)))+sec^(-1)((1)/(2x^(2)-1))=(2pi)/(3) , then tan^(-1)(2x) equals

If cos^(-1) (x) = alpha, (0 lt x lt 1) " and " sin^(-1) (2x sqrt(1 - x^2)) + sec^(-1)(1/(2x^2 - 1)) = (2pi)/(3) , than tan^(-1) (2x) equals