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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. 📰 Find The Least Common Multiple Lcm Of 42 And 63 7179057 📰 Find The Length Of The Shortest Altitude In A Triangle With Side Lengths 13 Cm 14 Cm And 15 Cm 4886468 📰 Games Like Among Us 1821450 📰 How Many Cups Are In 1Lb 272302 📰 You Wont Believe What Happened In The First Episode Of The Fantastic Four Animated Series 2142566 📰 This Riddle Of The Day Will Haul You Back In Timesolve It To Unlock The Secret 9663509 📰 5 Value Stocks You Must Buy Now Before They Explode In Price 940341 📰 K Carrim Revealed The Game Changing Suv Thats Taking Over Roads 8769656 📰 How To Master Flames Drawing Beginners Want These Shockingly Hot Tips 9617100 📰 Komi Cant Communicate Season 3 8197041 📰 Portable Chrome 2753732 📰 Spicy Italian Subway The Taste Thats Hotter Than Velocitygive It A Try 9438042 📰 Chase Bank Photos 256922 📰 You Wont Believe What Fashionistas Are Wearing Beneath Their Outfits 3681850 📰 Autopilot App Scam Alertis It Safe To Use Or Hidden Risk Inside 8850039