Question

The period of the function $f\left(x\right)=\left|\sin \frac{x}{2}\right|+|\cos x|$ is

• A. $2\pi$
• B. $\pi$
• C. $4\pi$
• D. none of these

Answer 1

The correct option is A $2\pi$

Period of $f\left(x\right)=$ LCM of period of (first function, second function)

$=$ LCM of period of ($2\pi ,\pi$)

$=$ $2\pi$

Hence, option 'A' is correct.