Formula for `2cos^-1x` and `3cos^-1x`

Formula of 2cos^(2)x

Formula for cos^(-1)(x)+-cos^(-1)(y)

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

If quad cos^(-1)x<1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+...oo=2 then the value of 12x^(2) is

If 0 < cos^(-1)x < 1 and 1+ sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+.....oo=2 then x equals

6cos^(3)x+cos^(2)x-1=0

Prove that cos^(-1)(3x-4x^3)=3cos^(-1)x,x in[1/2,1]

Find the value of cos^(-1)(x)+cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

STATEMENT-1: The solution set for cos ^(-1)(cos4)>3x^(2)-4x is phi. and STATEMENT-2: The value of cos^(-1)(cos x)=2 pi-x for x in(pi,2 pi)

Prove that: 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[(1)/(2),1]