Question

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

• A. 2π
• B. π
• C. 4π
• D. None of these

Answer 1

Answer: (A)

2π

Answer 2

Here $\left| \sin\frac{x}{2} \right|$ is a periodic function with period 2π and |cosx| is a periodic function with period π.

Therefore period of f(x) is 2π