Sketch one cycle of the sine curve. Assume a>0. Write an equation for the graph.

Answer 1

The equation of the sine curve is:

y = a sin(x)

And a simplified version of the equation for one cycle of the curve, assuming a value of 1, would be:

y = sin(x)

Here is a sketch of one cycle of the sine curve:
```plaintext
^
|
1 | .'
| .'
| .'
| .
| .
0.5 .
| .
| .
| .
| .
|.
-1 +----------------------------------->
0 π/2 π 3π/2 2π
```