The period of $f(x)=\frac{1}{2}[\cos (\s

CUET Preparation Today

Start Free Mocks

Home Questions 2AA2DZQ7DS

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The period of $f(x)=\frac{1}{2}[\cos (\sin x)+\cos (\cos x)]$ is :

Options:

$\pi$

$\pi / 2$

$\pi / 4$

$2 \pi$

Correct Answer:

$\pi / 2$

Explanation:

$f(x+\pi / 2)=\frac{1}{2}[\cos (\sin (x+\pi / 2))+\cos (\cos (x+\pi / 2))]$

$=\frac{1}{2}[\cos (\cos x)+\cos (\sin x)]$

period = $\pi / 2$