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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! 📰 Prince Albert Piercing Name Origin 8662511 📰 Kscp Stock Surprised Investorsheres The Shocking Surge You Cant Miss 2705662 📰 The Mystic Camp Update That Changed Everything Forever 1980129 📰 Robin Williams Dies 3889028 📰 Frage 10 8738970 📰 Hm Stock Jump 300Why Everyones Rallying Behind This Fashion Giant 7433609 📰 The Ultimate Guide To Every Minecraft Mobb You Need To Know 8523820 📰 Paris Versus 857862 📰 Is This Mri Worth Every Penny Experts Uncover Hidden Costs Now 1948586 📰 Best Cpu For Notebook 9588094 📰 Github App Mac 20964 📰 Pulsating Neck Pregnancy 1429862 📰 Dara Casinos Dark Drivehow She Turns Champions Into Casinos 1183745 📰 Lauren Sanchez Young 1260318 📰 Sourcetree Osx 3755277