Question

The period of $f\left(x\right)=\cos \left(\frac{x}{3}\right)+\sin \left(\frac{x}{2}\right)$ is

• A. $2\pi$
• B. $4\pi$
• C. $8\pi$
• D. $12\pi$

Answer 1

The correct option is D $12\pi$

We know period of $cos\left(x/3\right)$ is $6\pi$ and that of $sin\left(x/2\right)$ is $4\pi$

So, taking their LCM gives the period $12\pi$

So, Option (D)