Question

As the fundamental period of $\sin x$ is $2\pi ,$ then the fundamental period of $|\sin x|=$

• A. $4\pi$
• B. $\pi$
• C. $2\pi$

Answer 1

The correct option is B $\pi$

Let's assume $f\left(x\right)=\sin x.$
Now, period of $\sin x$ is $2\pi .$
To find the period of $|\sin x|$, let's plot it's graph and figure out the fundamnetal period.
Now the graph of $|\sin x|$ can be drawn as:

Now, from the graph, the function repeats it's values after every interval of length $\pi$
Hence, it's fundamental period will be $\pi .$