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

If tan^(-1)x+cos^(-1)((y)/(sqrt(1+y^(2))))=sin^(-1)((3)/(sqrt(10))) , then

If x=cos^(-1)(cos 4) " and " y=sin^(-1)(sin3) , then which of the following holds? (a) x-y=1 (b) x+y+1=0 (c) x+2y=2 (d) x+y=3pi-7

sin^(-1)x-sin ^(-1)y=(pi)/(3) and cos^(-1) x+ cos ^(-1) y=(2pi)/(3)

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

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

If sin^(-1)x+sin^(-1)y=(pi)/(2), "then" cos^(-1)x+cos^(-1)y is equal to

If sin^(-1) x + cos ^(-1) y = (2pi)/5 , then cos^(-1) x + sin ^(-1) y is