सिद्ध कीजिए कि `2cos^(-1) x = cos^(-1)(2x^(2)-1)`

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

cos^(-1).((2x)/(1+x^(2)))

The equation 2Cos^(-1)x=Cos^(-1)(2x^(2)-1) is satisfied by

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

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

Prove that cos^(-1){(1+x)/(2)}=(cos^(-1)x)/(2)

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

Sin^(-1)(2cos^(2)x-1)+Cos^(-1)(1-2sin^(2)x)=

Prove that cos^(-1){(1+x)/2}=(cos^(-1)x)/2