The function \( y = \sin \theta \) is an odd function, which means it has the property that \( \sin(-\theta) = -\sin(\theta) \). When a function is reflected over the y-axis, the input changes sign, and for the sine function, this reflection results in the same function being mirrored.
Therefore, the graph of \( y = \sin \theta \) when reflected over the y-axis will not change; it will still look like the original graph of \( y = \sin \theta \), but you'll have the mirrored points for \( \theta \).
Hereโs the summary:
- The graph of \( y = \sin \theta \) is odd and retains its shape when reflected over the y-axis.
If you want to match the function \( y = \sin \theta \) with its behavior when reflected, note that it remains unchanged visually, due to its odd function property.