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

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Gió Share
Jan 10, 2017

I found:
Amplitude$= 2$;
Period$= 2 \pi$

#### 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 $2 \pi$ by this number:
$\text{period} = \frac{2 \pi}{1} = 2 \pi$

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

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