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📰 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. 📰 However, to **maximize $r$**, we must **minimize the denominator** $\sin(2\theta)$, but not go below 0. So we consider the **maximum of $r^2$** under the constraint that $\sin(2\theta) > 0$. The maximum occurs when $\sin(2\theta)$ is at its **minimum positive value**, but that would make $r^2$ large — but we must find the **actual maximum possible finite value**. 📰 Actually, the **maximum finite value of $r$** occurs when $\sin(2\theta)$ is at its **maximum**, because $r^2 = \frac{100}{\sin(2\theta)}$, and $\sin(2\theta) \leq 1$. 📰 Who Sings This Song 7535044 📰 2025 Movies Coming Out 3497311 📰 Java 21 Download Mac 7720001 📰 Banh Beo Why This Vietnamese Delight Is Taking The Internet Obsessed 3622351 📰 The Huge Shift Of Losing Thirty Six Kilos Revealedscience Keeps Surprising Us All 9959640 📰 Glitter Gold Nose Stud Why Its The Ultimate Statement Piece You Cant Miss 3850616 📰 Kelley Jakle 2284057 📰 Power Ranger Game Alert Train Battle And Dominate Like A Legend 3574253 📰 You Wont Believe What This Playstation One Gaming Setup Can Do Unbelievable Retro Revival 3777468 📰 Crikey Its The Irwins 2523733 📰 Sleep Shorts 6620368 📰 How To Create A Game Pass On Roblox 3569818 📰 Intrepidity 2038763 📰 Gnudis Secret Past Shocked The Worldyou Wont Believe What He Did Next 2188733 📰 Food Grub App Features Every Foodie Needsdiscover Your Next Obsession Now 4852198