$\text{ Which of the following function is periodic with fundamental period }\pi \text{ ? }$

$\varphi \left(x\right)=|\cos x|+\ln (\sin x)$

$\left.f\left(x\right)=\cos x+\left[\mid \frac{\sin x}{2}\right]\right];\text{ where [] denotes greatest integer function }$

$h\left(x\right)=\left\{x\right\}+|\cos x|;\text{ where }\{\cdot \}\text{ denotes fractional part function }$

$g\left(x\right)=\frac{\sin x+\sin 7x}{\cos x+\cos 7x}+|\sin x|$