# What is the period of #sin(3*x)+ sin(x/(2))#?

##### 1 Answer

The Prin. Prd. of the given fun. is

#### Explanation:

Let

We know that the **Principal Period** of

means that,

Hence, the **Prin. Prd.** of the fun.

On the same lines, we can show that, the **Prin. Prd.** of the fun

It should be noted here that, for a fun.

**periodic** funs. with Prin. Prds.

it is **not** at all necessary that the fun. **be periodic** .

However,

So, let us suppose that, in our case, for some

So, by taking,

Hence, the Prin. Prd. of the given fun. is