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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! 📰 This Simple Strategy Behind Fidelity Investing Is Rewriting Financial Success Stories 5021804 📰 The Dead Shoot Shocked Us Allheres The Full Gory Story Revealed 5585620 📰 Samuel L Jackson Django 5421269 📰 Photoscissors The Game Changing Tool That Lets You Cut Edit And Enhance Photos Instantly 1785413 📰 New York To Dallas 1062152 📰 You Wont Believe Whats Fire About Jsrs Jet In The Cyber World 679974 📰 No Te Atrevas Descubre El Secreto Oculto Detrs De Una Salsa Con Fuego 8013205 📰 Youre Shockedthis Actor Looks Exactly Like Me Watch The Viral Transformation 282842 📰 Autoscaling Azure Unleashed The Ultimate Guide To Dynamic Resource Management 6863373 📰 Hra Access Login 2311060 📰 Get Spotlight On Your Npi Profilethis Guide Is A Game Changer 7820965 📰 Monthly Interest Calculator 5318480 📰 Tarjeta De Pavos 5517434 📰 The Shocking Identity Of Who Was Removedyou Wont Believe It 3220539 📰 Why Every Girl Is Wearing A Black Gown To Their Prom Glamour Alert 375227