Since $r^2 \geq 0$, we must have $\sin(2\theta) > 0$. The maximum value of $r^2$ occurs when $\sin(2\theta)$ is minimized (but still positive). The minimum positive value of $\sin(2\theta)$ is approaching 0, but we must consider the domain where the expression is defined and real.

Tue, 05 May 2026 23:22:46 +0000

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