`sin(sin^(-1)(1)/(2)+cos^(-1)(1)/(2))`

cos^(2)(sin^(-1)(1/6))+sin^(2)(cos^(-1)(1/2))

tan(1)+cos^(-1)(-(1)/(2))+sin^(-1)(-(1)/(2))

sin(sin^(-1)((1)/(3))+sec^(-1)(3))+cos(tan^(-1)(1/2)+tan^(-1)2) =

Find the principal value of each of the following :(i)(sin^(-1)1)/(2)-2(sin^(-1)1)/(sqrt(2))( ii) sin^(-1){cos(sin^(-1)(sqrt((3)/(2)))}^(sqrt(2))

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

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

cos^(-1)((1)/2)+2sin ^(-1)((1)/(2))=...

Statement -1: if -1lexle1 then sin^(-1)(-x)=-sin^(-1)x and cos^(-1)(-x)=pi-cos^(-1)x Statement-2: If -1lexlex then cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))= 2cos^(-1)sqrt((1+x)/(2))

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

cos [cos^(-1)(-1/2)-sin^(-1)(1/2)]