Discuss whether the function `f(x)="sin"(cosx+x)` is period or not. If yes, then what is its period?

Period of f(x)=sin((cosx)+x) is

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

Find the range of f(x)=sin(cosx).

Discuss the differentiability of f(x)="sin"|x|

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

Th period of the function f(x) = | sin x|+| cos x | is

The period of the function y= sin 2x is

Draw and discuss the graph of the function f(x) = e^(1//x)

Check whether the function defined by f(x+lambda)=1+sqrt(2f(x)-f^2(x)) AAx in R is periodic or not. If yes, then find its period (lambda>0)dot