Question

How do you find the amplitude and period of `y=2sintheta`?

Answer 1

I found:
Amplitude`=2`;
Period`=2pi`

Explanation:

The amplitude is given by the number in front of the sine function, `2` in this case. This means that your function goes from `+2` to `-2`;
The period is a bit more tricky....you need the number that is multiplying the argument of the sine, `1` in this case, and divide `2pi` by this number:
`"period"=(2pi)/1=2pi`

Let us see these values graphically:
graph{2*sin(x) [-10, 10, -5, 5]}