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📰 \sin \theta = \frac{\sqrt{2}}{2} \quad \Rightarrow \quad \theta = \frac{\pi}{4} \quad \text{or} \quad \theta = \frac{3\pi}{4} 📰 Both are in $ (0, \pi) $, but since the maximum imaginary part is positive and corresponds to $ \frac{\sqrt{2}}{2} $, and the angle is often taken as the acute one in such contexts, but the problem asks for $ \theta $ such that $ \sin \theta = \text{max imag part} $, and $ \theta $ is to be found. However, $ \frac{\sqrt{2}}{2} = \sin \frac{\pi}{4} = \sin \frac{3\pi}{4} $, but $ \frac{3\pi}{4} $ is larger and still in range. But since the root has argument $ \frac{3\pi}{4} $, and the imaginary part is $ \sin \frac{3\pi}{4} = \frac{\sqrt{2}}{2} $, the value $ \theta $ such that $ \sin \theta = \frac{\sqrt{2}}{2} $ and corresponds to the phase is naturally $ \frac{\pi}{4} $, but the problem says "expressed as $ \sin \theta $", and to find $ \theta $. However, since $ \sin \theta = \frac{\sqrt{2}}{2} $, 📰 Shocking Transformation: Straight Hair Men’s Ultimate Haircut Secrets Revealed! 📰 Dhs Currency Breakthrough Why Investors Are Rushing To Join The Movement 634614 📰 Red Dead 2 Release Date 2582575 📰 Estate Servicing 📰 Automated Game 📰 Bank Of America Atm Open 📰 Boo Hag 2451400 📰 Blue Jays Roster 4472633 📰 Muscat Grapes 1408685 📰 Shock Update Azul Air Stock And The Investigation Begins 📰 Falcon Bank Secrets Revealed How This Bank Boosts Your Wealth Overnight 4420426 📰 Big Titd Teens Top Viral Chartsdo You Want To See The Hottest Teens Today 247289 📰 From Struggle To Riches The Hidden Journey That Shaped Remy Mas Massive Net Worth 9791862 📰 Fidelity Bank Wire Instructions 📰 Anitha Veerasamy Shocked The World Her Untold Story You Never Knew 9595982 📰 Polka Dots Are Back Heres Why This Printing Trend Is Taking Over 2024 6840483