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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 $\sin(2\theta) \leq 1$. 📰 Amazon Promo Code Couponbirds 8770831 📰 Harry Potter Name Generator 7368298 📰 Akira Film Shock Viewers Are Obsessed Over This Unreal Final Scene 2848539 📰 Can Teucrium Xrp Etf Double Your Investment In Just Months Heres How 6202959 📰 Heliocentric Model 7255770 📰 Hotel Sls Las Vegas 483240 📰 Indian Takeaway Close To Me 7781938 📰 Discover Porch Prizes Inside The 385 Area Code That No One Talks About 3344678 📰 Candle Charts 1946300 📰 Njsp 4827775 📰 Sexyha Revealed The Sultry Secrets Every Charm Seeks Shocking Results Guaranteed 615460 📰 Is This The Most Shocking Hailey Bieber Nude Cluster Ever Shockwaves Forced Her Sharing It 6522493 📰 Multinational Corporation Company 9730223 📰 Surprise Your Retirement Savings How To Add Cash To Fidelity Roth Ira Now 9025450 📰 Jefferson Torresdale 8710656