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📰 Solution: Start by solving $ 2\cos(2\theta) + 1 = 0 \Rightarrow \cos(2\theta) = -\frac{1}{2} $. The general solutions for $ 2\theta $ are $ 2\theta = 120^\circ + 360^\circ k $ or $ 2\theta = 240^\circ + 360^\circ k $, where $ k \in \mathbb{Z} $. Dividing by 2, $ \theta = 60^\circ + 180^\circ k $ or $ \theta = 120^\circ + 180^\circ k $. For $ \theta \in [0^\circ, 360^\circ] $, the solutions are $ 60^\circ, 120^\circ, 240^\circ, 300^\circ $. 📰 \boxed{60^\circ, 120^\circ, 240^\circ, 300^\circ} 📰 Question: Let $ z^4 + z^2 + 1 = 0 $. Express the maximum imaginary part of a root as $ \sin \theta $, where $ \theta \in [0^\circ, 360^\circ] $, reflecting harmonic analysis in linguistic frequency models. 📰 Edgewater Golf Club 4662210 📰 Holiday Inn Las Vegas 1592301 📰 Lilah Pate Movies And Tv Shows 8576883 📰 Citizen Alert The 2024 Federal Pay Calendar Revealedwhen Do You Get Your Raise 9861806 📰 Total Degrees 360 Sector Size 20 So Number Of Sectors 360 20 360201818 298076 📰 The Shocking Truth About Pigeon Nests Youve Never Seen Beforethis One Is Unforgettable 2829807 📰 You Wont Believe How Easy It Is To Solve Connect 4Try The Best Solver Now 1294525 📰 Rainbow 6 The Shocking Warfare Technique No One Talks About 1589301 📰 Bears Preseason 6283457 📰 Wwe Draft 2025 1779867 📰 Chief Of Staff Trump 9020174 📰 Cover That Hits Hardbutterfly Kisses Lyrics Will Change How You Listen Forever 2078591 📰 Peco Stock Soaring Investors Are Rushing To Buy Before It Blows Up 5368690 📰 Ipic Theatres Pasadena The Secret Movie Experiences That Are Taking Over The City 9302138 📰 Golf Range Near Me 9928817