Prove that `sin cos^(-1) tan sec ^(-1) x=sqrt(2-x^(2))`.

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

Prove that sin cot^(-1) tan cos^(-1) x = sin cosec^(-1) cot tan^(-1) x = x, " where " x in [0,1]

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)

Prove that : cos^(-1) x + cos^(-1) ((x)/(2) + (sqrt( 3-3x^2) )/( 2) ) = (pi)/ (3)

Prove that cos^(-1)x=2sin^(-1)(sqrt (1-x)/sqrt2)

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

Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x) is/are ____

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x = (pi)/(2), |x| le 1

Prove that , (sin2x)/(1+cos2x)=tanx

Prove that, cot x cos^(2)x -tan x sin^(2)x = 2 cot 2x