(" iii) "quad cos(2sin^(-1)x)

Solve for x : i) cos(sin^(-1)x)=1/2 ii) tan^(-1)x=sin^(-1)1/sqrt(2) iii) sin^(-1)x-cos^(-1)x=pi/6

Differentiate the following : (iii) cos^(2)x sin x^(2)

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

Determine whether the following functions are even, odd or neither. (i) sin^(2) x-2cos^(2) x-cos x (ii) sin (cos(x)) (iii) cos(sin (x)) (iv) sin x+cos x

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

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)

If 0

" (2) "sin^(-1)x+sin^(-1)(1/x)+cos^(-1)x+cos^(-1)(1/x)" is equal to "

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))