Question

How do you find the amplitude and period of a function `y= sin(2pix/23)`?

Answer 1

The amplitude is `1` and the period is `23`.

Explanation:

In the general formula

`y=asin(b(x-c))+d`,

`a` is the amplitude and `b` is the horizontal compression. To calculate the period, divide `2pi` by the `b` value.

Here's our equation:

`y=sin((2pi)/23x)`

Our amplitude is `1` because that it the `a` value.

Here's the calculation for the period:

`"period"=(2pi)/b=(2pi)/((2pi)/23)=color(red)(cancel(color(black)(2pi)))*23/(color(red)(cancel(color(black)(2pi))))=23`