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📰 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! 📰 Tired of Flat Strands? Here’s the Best Haircuts for Straight Hair Men That Transform Looks! 📰 Target Sales Down 📰 You Wont Believe Which Wii Game Dominated The Decade 1171488 📰 Weather In Augusta Maine 4355930 📰 Top Shorted Stocks Just Surged Heres Why Investors Should Bet Now 6341252 📰 Oracle Government Cloud The Secret Tool Powers Thousands Of Us Agenciesheres How 7637941 📰 Renpy Extract 📰 Shocked Fans Dezi James Calvo Shatters Expectations With Breathtaking Career Comeback 7789016 📰 Anime Lesbians That Romantic Fans Hate But Cant Stop Watching 1952844 📰 Sleep On This Gods Kingdom Is Already Among You 1426133 📰 Youre Drinking More Caffeine Than A Jet Plane Pilot Heres How Much In Monster 1234191 📰 Data Shows Wells Afargo And The Reaction Is Immediate 📰 Courteney Arevalos Journey To Becoming A Licensed Physician Assistant Shocking Breakthrough Details 5278636 📰 From 1 Jpy To Usd The Unexpected Usd Amount That Small Investors Are Missing 1368551 📰 Flash Flash Player 📰 How Fidelity Ireland Top Investors Just Revolutionized Financial Trust In Ireland 4141785