`cos^{-1} (cos x ) + sin^{-1} (sin x ) = ?`

Solve cos^(-1) (cos x) gt sin^(-1) (sin x), x in [0, 2pi]

Let f(x) = min ( tan^(-1) x, cot^(-1)x) " and " h ( x) = f ( x + 2) - pi //3 ". Let " x_(1), x_(2) ( "where " x_(1) lt x_(2)) be the integers in the range of h (x) , then the value of ( cos^(-1) ( cos x_(1)) + sin ^(-1) ( sin x_2)) is equal to

If f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2)) , then

If y=sin^(-1)(cos x)+cos^(-1)(sin x) , prove that (dy)/(dx)=-2

The function f(x) = sin ^(-1)(cos x) is

Solve sin^(-1) x- cos^(-1) x = sin^(-1) (3x -2)

The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cosec(sin^(-1)x)) is

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x) = (pi)/(2), |x| le 1

tan^(-1) ((1-cos x)/(sin x))

Show that '(1-cos 2x + sin x)/(sin 2x + cos x) = tan x'