Question

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

Answer 1

See answer below

Explanation:

Given: `y = sin(2 theta)`

The standard equation of a sine function looks like:

`y = A sin (B(theta - C)) + D`, where `A =`amplitude,

`B = (2 pi)/"period"`, `" "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]}