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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! 📰 Buck Run Enters From The South Near The Community Of Hovever 5762860 📰 Openprocessing 4856644 📰 Shondaland Shows 4071501 📰 Frage Ein Gleichseitiges Dreieck Ist In Einem Kreis Mit Radius 6 Cm Eingeschrieben Wie Ist Der Umfang Des Dreiecks 2598131 📰 Win 10 Media Creation Tool Download 9731502 📰 5Tonyaedaliya Is A District In The City Of Almaty Almatay Region Kazakhstan The Area Of The District Is 79 Km Its Population Was 91604 In 2022 It Was Established In 2018 It Is One Of The Seven Districts Of Almaty 9072346 📰 Cloud What 1936596 📰 This Explosive Shift From 66 To 126 F Rips Your World Apart 2151542 📰 Wells Fargo Checking Accounts Fees 5344478 📰 6 Months Of School 589005 📰 The Inequality Holds Where The Expression Is Negative 3972354 📰 Shocking Would You Rather Questions For Grown Ups Thatll Make You Sweat And Smiletry Them Now 6025502 📰 Ready To Skyrocket Your Cloud Performance Discover Why Azure Us East 9212618 📰 Fun Cooking Games 4121380 📰 Raspberry Pi Steam Link 5356659