Question

The graph of the sine curve below is of electromagnetic energy that represents indigo light:

(graph)
What function accurately represents the sine curve for indigo light?
f(x) = sin 430πx
f(x) = sin 215πx
f(x) = sin pi over 215x
f(x) = sin pi over 430x

Answer 1

the answer is f(x) = sin pi over 215x
I just took the test

Answer 2

`f(x) = sin((\pi x )/(215) )`

Explanation:

We are given the graph of the sin curve that shows the electromagnetic energy which represents indigo light.

According to the graph, we see that the period of the sin curve is 430.

Now, we know that the period of sinx is
`2 \pi` and sinax is
`(2 \pi)/(a)`.

So, we get that the period of sin430x is
`(2 \pi)/(430)` =
`(\pi)/(215)`.

Hence, the accurate function for the indigo light is
`sin((\pi x)/(215))`.