Question
Sketch one cycle of the sine curve. Assume a>0. Write an equation for the graph.
Answers
GPT 3.5
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
```
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
```