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

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

Define the function, f(x)=cos^(-1) (cos x)-sin^(-1) (sin x)" in "[0,2pi] and find the area bounded by the graph of the function and the x-axis.

For the function f(x) = cos^(-1)x + cos ^(-1) x^(2) which of the following statements is/are true

The domain of the function f(x)= cos^(-1)(x+[x]) is

The domain of the function f(x)=cos^(-1)(x-[x]) is

The domain of the function f(x) = cos ^(-1)((2-x)/(4)) is

The domain of the function f(x)= sqrt(cos x) is

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