Prove that period of function `f(x)=sinx, x in R " is " 2pi.`

The period of the function f(x)=|sinx|-|cosx| , is

The period of the function f(x)=|sinx|-|cosx| , is

The period of the function f(x)=||sinx|-|cosx|| , is

Function f(x) = |sinx|, x in (- (pi)/(2) , 0) is :

The period of the function f(x)=sin((2x+3)/(6pi)) , is

The period of the function f(x)=sin((2x+3)/(6pi)) , is

If the fundamental period of function f(x)=sinx+cos(sqrt(4-a^(2)))x " is " 4pi , then the value of a is/are

The period of the function f(x)=abs(sinx)+abs(cosx) is a) 2pi b) 3pi c) (3pi)/2 d) pi/2

Prove that the function f given by f(x) = log sinx, is increasing on (0,pi/2) and decreasing on (pi/2, pi) .