`cos^(-1)x+sin^(-1)(x/2)= pi/6`

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

If sin ^(-1) x + sin ^(-1) y = (pi)/(6) , then cos^(-1) x + cos ^(-1) y =?

The soluation set of inequality (sin x+cos^(-1)x)-(cos x-sin^(-1)x)>=(pi)/(2) is equal to

Find the value of cos(2cos^(-1)x+sin^(-1)x) at x=(1)/(5), where 0<=pi and -(pi)/(2)<=sin^(-1)x<=(pi)/(2)

Q.if solution of the equation 2sin^(-1)x cos^(-1)x-2 pi sin^(-1)x-pi cos^(-1)x+pi^(2)=0 are alpha and beta such that then which of the following is lare correct?

If sin^(-1)x + sin^(-1)y =(2pi)/3 , then: cos^(-1)x +cos^(-1)y=

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))