`cos(2sin^(- 1)x)=1-2x^2`

Prove that : cos (2 sin^(-1) x) = 1-2x^2

Prove that : cos (2 sin^(-1) x) = 1-2x^2

{ cos (sin ^(-1) x)}^(2) ={sin (cos ^(-1) x)}^(2)

sin^(2)(cos^(-1)x)+cos^(2)(sin^(-1)(sqrt(1-x^(2)))) = ________ (0ltxlt1)

cos^(-1)(1-2sin^(2)x)

find solution for x (cos^(2)x+sin^(2)x)^2=(1)/(2)(1+sin^(2)x)

Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))

Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))

Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))

Integrate the following: int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx