Question

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

Answer 1

Answer:

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

Step-by-step 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,

$\text{Period}=\dfrac{2\pi}{|b|}$

Now, We have given

$f(x)=\sin x$

where, b=1

So, period will be

$\text{Period}=\dfrac{2\pi}{|1|}\\\\\text{Period}=\dfrac{2\pi}{1}\\\\\text{Period}=2\pi$

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

Answer 2

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.