" 21."sin^(-1)(cos x)

then value of the expression sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x)))

Find the area bounded by the curves y=(sin^(-1)(sin x)+cos^(-1)(cos x)) and y=(sin^(-1)(sin x)+cos^(-1)(cos x))^(2) for 0<=x<=2 pi

Solve the equation sqrt(|sin^(-1)|cos x||+|cos^(-1)|sin x||)=sin^(-1)|cos x|-cos^(-1)|sin x|,(-pi)/(2)<=x<=(pi)/(2)

Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin^(-1)|cos x | -cos^(-1)| sin x|, (-pi)/(2) le x le (pi)/(2)

Draw the graph of following function y = cos ^ (- 1) (cos x) y = sin ^ (- 1) (sin x) y = cos (cos ^ (- 1) x) y = sin (sin ^ (- 1) x)

f_(1)(x)=sin^(-1)(cos(sin^(2)x)),f_(2)(x)=cos^(-1)(sin(cos^(2)x)),f_(3)(x)=sin^(-1)(cos^(2)x)),f_(4)(x)=cos^(-1)(sin^(2)x)* Then which of the following is/are correct?

prove that , sin ^(-1) cos sin ^(-1 )x+cos ^(-1) sin cos ^(-1) ""x=(pi)/(2)

prove that sin^(-1) cos sin^(-1)x + cos^(-1) sin cos^(-1)x = pi /2

If alpha="sin"^(-1)("cos"("sin"^(-1)x)) and beta="cos"^(-1)("sin"("cos"^(-1)x)) , then

Maximum value of cos x((cos x)/(1-sin x)+(1-sin x)/(cos x))