The distance between point $P$ and the origin, $O$, is $r$ units. The line $OP$ forms an angle of $\phi$ with the $x$-axis.
![Diagram of rotation](https://ka-perseus-images.s3.amazonaws.com/81d8167e495fcfa439f8027b51a364505a4de940.png)
**What are the coordinates of $P$?**
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