Prove that function `f(x)=cos sqrt(x)` is non-periodic.

The function f(x)=[cos x] is

Is the function f(x) =sqrt(sinx) periodic?

The function f(x)=|cos| is periodic with period

Statement 1: The function f(x)=x^2+tan^(-1)x is a non-periodic function. Statement 2: The sum of two non-periodic functions is always non-periodic.

The function f(x)=cos(log(x+sqrt(x^2+1))) is :

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

The function f(x)=2 cos 5x+3 sin sqrt(5x) , is

Statement-1: Function f(x)=sin(x+3 sin x) is periodic . Statement-2: If g(x) is periodic then f(g(x)) periodic

Find the number of points where the function f(x) = max(|tanx|,cos|x|) is non-differentiable in the interval (-pi,pi) .

The number of values of x where the function f(x)=cos x +cos (sqrt(2)x) attains its maximum value is