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Trigonometry: Compound Angles

Transformation... or not?
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Problem

Do we always get new functions from old ones?

Take a look at the graph below.

Wave oscillating between y=5 and y=-5 with period 2 Pi. The first positive x-intercept is just before pi and the y-intercept is at 4.

How would we describe it?

Can we describe it using a function we know?