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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! 📰 Devils May Cry Dante How This Game Shattered Expectations Not How We Thought 4238217 📰 Descargar Silhouette Studio 1491559 📰 Free Gsm Solutions Just Droppedyour Business Will Thrive Instantly 2235330 📰 No Two Digit Solution 4019897 📰 How To Recover Outlook Forgot Password In Secondsno It Help Needed 6506070 📰 You Wont Believe What Just Happened To Uacr Stockis This Your Big Opportunity 487338 📰 Unlock The Secret Of Jukeosyour Favorite Snacks Are Going Crazy 109931 📰 Amazon Nitro North Get Lightning Fast Delivery Split The Hype Now 431840 📰 Unleash Your Creativity Uncensored Ai Image Generation You Need To Try Now 113325 📰 Where Is The Culinary Institute Of America 396054 📰 Frontier Check In Secrets Youll Never Guess How This Hidden Tradition Changed Travel Forever 4879682 📰 Permanently Deleted Your Photos This Easy Hack Get Them Back Instantly 8538629 📰 Cleansing Detox Water 708860 📰 As Score 8633548 📰 Seahawks Newsletter 3827458