# Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 597: 89

See explanations.

#### Work Step by Step

The basic sine curve is a periodic function which oscillates up and down. The function in the form of $y=Asin(\omega x+\phi)$ has a period of $p=\frac{2\pi}{\omega}$, an amplitude of $|A|$ and a phase shift of $-\frac{\phi}{\omega}$. The simpliest form $y=sin(x)$ gives $p=2\pi, A=1, \phi=0$.

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