If `x=cos^(-1)(cos 4) " and " y=sin^(-1)(sin3)`, then which of the following holds?

If x=cos^(-1)(cos4)" and "y=sin^(-1)(sin3) , then which of the following conditions is true ?

If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=cos(1/2sin^(-1)(sin(x/2))) then which of the following statement holds good? a. y=cos((3pi)/16) b. y=cos((5pi)/16) c. x=4cos^(-1)y d. none of these

If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=cos(1/2sin^(-1)(sin(x/2))) then which of the following statement holds good? a. y=cos((3pi)/16) b. y=cos((5pi)/16) c. x=4cos^(-1)y d. none of these

If quad 2cos^(-1)((1)/(2))+sin^(-1)((1)/(sqrt(2)))+tan^(-1)(sqrt(3)) and y=cos((1)/(2)sin^(-1)((sin x)/(2))) then which of the following statement holds good? y=(cos(3 pi))/(16) b.y =(cos(5 pi))/(16) .x=4cos^(-1)yd .none of these

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?

" if " |{:(sin x,,sin y,,sin z),(cos x,,cos y,,cos z),(cos^(3) x,,cos^(3)y,,cos^(3)z):}|=0 then which of the following is // are possible ?

" if " |{:(sin x,,sin y,,sin z),(cos x,,cos y,,cos z),(cos^(3) x,,cos^(3)y,,cos^(3)z):}|=0 then which of the following is // are possible ?

" if " |{:(sin x,,sin y,,sin z),(cos x,,cos y,,cos z),(cos^(3) x,,cos^(3)y,,cos^(3)z):}|=0 then which of the following is // are possible ?

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)

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