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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! 📰 Government Announces El Capitan Os Update Last Update 2026 📰 Meaning Of Sisyphean Task 📰 Itunes On Imac 📰 Divide 9876 By 1234 And Find The Remainder 2428475 📰 Verizon Wireless No Contract Plans And Phones 📰 More Spooky Nyt 📰 3 The One Technique To Secure Your Files With A Folder Password On Windows 10 1361251 📰 Poppy Playtime Chapter 5 Apk 📰 How Much Is Paramount Plus 📰 Oracle Hcm Now 📰 New Details Car Pre Approval And The Situation Changes 📰 Sudden Update Amdy Dividend History And It Sparks Debate 📰 Discord Overlay Roblox 📰 Stop Watchingthis Lol 1V1 Will Leave You Speechless Secrets Inside 8905843 📰 Roth Ira Calculators