Question

What is the period of f(x) = sin(x)?

Answer 1

The regular period is 2pi. If you look up or type in a graphing calculator you can see that's when the sine function starts to repeat itself.

Answer 2

The period of
`f(x)=\sin x\text{ is }2\pi`

Explanation:

Given :
`f(x)=\sin x`

To find : The period of f(x)?

Solution :

Period is define as the value that repeat itself at regular interval.

We know that general form of sin function is

`y=a\sin\ (bx+c)+d`

Where,

`\text{Period}=(2\pi)/(|b|)`

Now, We have given

`f(x)=\sin x`

where, b=1

So, period will be

`\text{Period}=(2\pi)/(|1|)\\\\\text{Period}=(2\pi)/(1)\\\\\text{Period}=2\pi`

Therefore, The period of
`f(x)=\sin x\text{ is }2\pi`