## Precalculus (6th Edition) Blitzer

Amplitude $=\dfrac{1}{2}$ in; Phase shift $=2$; Period $=8$ s; Frequency $=\dfrac{1}{8}$ in per sec
Amplitude, $|A|=|\dfrac{1}{2}|=\dfrac{1}{2}$ So, $f=\dfrac{\omega}{2 \pi}=\dfrac{\pi/4}{2 \pi}=\dfrac{1}{8}$ Now, Phase shift $=\dfrac{\pi/2}{\pi/4}=2$ and period, $P=\dfrac{2 \pi}{\omega}=\dfrac{2 \pi}{\pi/4}=8$ Hence, Amplitude $=\dfrac{1}{2}$ in; Phase shift $=2$; Period $=8$ s; Frequency $=\dfrac{1}{8}$ in per sec