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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. 📰 The Hot Chick Actors 9016040 📰 Step To Confidence Discover Stylish Leather Knee High Boots Inside 1835784 📰 Clock Funeral Home Obituaries 9078952 📰 Inn At Spanish Head 8749685 📰 Discover What Lies Beyond The Walls Of 1749 Mallory Ln In Brentwoods Hidden History 793836 📰 Transform Your Style Overnightthis Silver Cross Necklace Is The Secret To Effortless Chic 2049845 📰 King K Rool Exposed The Ultimate Supervillain With A Kings Ambitionshocking Truth Inside 2749361 📰 Harvard Admission Rate 6401379 📰 What Chuu En Hides In Every Note Will Shock You Beyond Belief 8242788 📰 Genshin Impact Ios 5972798 📰 Verizonwireless Com Login 6463178 📰 Cast From Eureka 6937594 📰 Nintendo Game Game 5715145 📰 Indian Ocean Seychelles Islands 2909450 📰 Suicide Club 3449067