Drawing polar graphs when given theta in terms of the radius

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I know how to plot when it is like

$r=10 \cdot \sin(2\theta)$.

But how to do that when the condition is like:

$\theta =2 \pi \cdot \sin(r)$?

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It might help to imagine the polar coordinate grid. Each of the circles represents a different value of $r$, and each of the lines represents a value of $\theta$.

polar grid

What you do is you pick a few values of the radius, say $r = 1$, $r=2$, $r=3$, $r=4$, and $r = 5$. For each one, compute what $\theta$ is. Then draw the point $(r, \theta)$ for each. To find the point, just locate the circle for $r$, and then go around the circle to find the angle $\theta$.