# How do you find the period of y=2 sin x?

Dec 28, 2016

$\text{period } = 2 \pi$

#### Explanation:

The standard form of the $\textcolor{b l u e}{\text{sine function}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = a \sin \left(b x + c\right) + d} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where amplitude "=|a|," period } = \frac{2 \pi}{b}$

$\text{phase shift " =-c/b, "vertical shift } = d$

$\text{here } a = 2 , b = 1 , c = 0 , d = 0$

$\Rightarrow \text{period } = \frac{2 \pi}{1} = 2 \pi$