Question

What is an equivalent costume function for y=9sin(4pi/3x) and y=3sin(pi/3x)?

Answer 1

So,

To answer this question, we could use the fact that:

`\cos (x-(\pi)/(2))=\sin x`

Now, given:

`y=9\sin ((4\pi)/(3)x)`

We could affirm that this expression is equivalent to:

`y=9\cos ((4\pi)/(3)x-(\pi)/(2))`

A similar situation occurs to this function:

`y=3\sin ((\pi)/(3)x)`

An equivalent cosine function could be:

`y=3\cos ((\pi)/(3)x-(\pi)/(2))`