# What is the period of y=2-3sin(pi/4)(x-1)?

Nov 8, 2016

The period, $\tau = 8$

#### Explanation:

Given the general form, $y = A \sin \left(B x + C\right) + D$

$B = \frac{2 \pi}{\tau}$ where $\tau$ is the period

In this case, $B = \frac{\pi}{4}$

$\frac{\pi}{4} = \frac{2 \pi}{\tau}$

$\frac{1}{4} = \frac{2}{\tau}$

$\tau = \frac{2}{\frac{1}{4}}$

$\tau = 8$