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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 $\sin(2\theta) \leq 1$. 📰 How Many Game Of Thrones Books Are There 9362963 📰 Brink Online Failingmission 2 1212711 📰 You Wont Believe What This Texas Spiny Lizard Can Donatures Ultimate Surprise 8816304 📰 Susamarus Shocking Backstory Shakes The Entire Anime World Are You Ready 8191627 📰 Youthink Im Drawdybut One Login Knows Your True Identity 6103119 📰 The Shocking Reveal How To Sign Out Of Outlook Without Losing Progress 827276 📰 Wells Fargo Camp Creek 3316797 📰 That One Ride Change Turned The 2016 Chevrolet Equinox From Mediocre To A Hot Seller 6383340 📰 Kendall Jenner Bad Bunny 9530219 📰 Writer Duet 626370 📰 Adirondack Cardiology 3612367 📰 When Does Fortnite Come Back Online 2007953 📰 The Rockford Files 5841219 📰 A Mammalogist Observes That A Herd Of Zebras Moves In A Pattern Forming A Right Triangle Between Watering Holes If They Travel 8 Km North Then 6 Km East Then Return Directly To Start What Is 2974312 📰 How The Affordable Care Act Law Can Save You Thousandsare You Making This Change 9717798