(ii)Find the value of `cos x-sin x`?.

find the value for x F(x)=|[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]|

Find the value of x, if : cos x = cos 60^(@) cos 30^(@) + sin 60^(@) sin 30^(@)

If sin(sin^(-1)(1/5)+cos^(-1)(x))=1 Find the value of x .

Find the value of, cos [tan^(-1) {sin (cot^(-1)x)}]

If cos 3x= 0 and x is acute find the value of : sin x

If sin ^(-1) x =(pi)/(4) , find the value of cos^(-1) x .

Find the value of : sin (sin^(-1) x + cos^(-1) x)

(i) Find the maximum and minimum values of sin^(4)x + cos^(2)x and hence or otherwise find the maximum value of sin^(1000)x + cos^(2008)x . (ii) Find the maximum value of cos (cos x).

Find the value of cos( 2 cos^(-1) x + sin^(-1) x) " when " x = 1/5

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1