# How do you find the amplitude, period and graph y=sin(2theta)?

Jun 14, 2018

#### Explanation:

Given: $y = \sin \left(2 \theta\right)$

The standard equation of a sine function looks like:

$y = A \sin \left(B \left(\theta - C\right)\right) + D$, where $A =$amplitude,

$B = \frac{2 \pi}{\text{period}}$, $\text{ "C = "phase shift and "D = "vertical shift}$

In the given equation:

A = 1; " "period = (2 pi)/B = (2 pi)/2 = pi

On a graphing calculator make sure you are in radian MODE.

graph{sin(2 x) [-5, 5, -2.5, 2.5]}