Question

Find the peroid of the function. sin (3x)?

Answer 1

`(2pi)/3`

Explanation:

The most generic sinusoidal function you can have is

`Asin(\omega x + \phi) +b`

• `A` would affect the amplitude (vertical stretch)
• `w` affects the period (horizontal stretch)
• `\phi` and `b` would translate the function, horizontally and vertically (resp.)

Specifically, `\omega` affects the period in this way: you have

`T = (2pi)/3`

hence the answer.