Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Period of $|\sin 2x | + |\cos 8x|$ is

Options:

$π/2$

$π/3$

$π/16$

none of these

Correct Answer:

$π/2$

Explanation:

Clearly period of $|\sin 2x |=\frac{π}{2}$ and period of $|\cos 8x|=\frac{π}{8}$

Now L.C.M. $\left(\frac{π}{8},\frac{π}{2}\right)=\frac{π}{2}$ ⇒ Period of the given function is $\frac{π}{2}$