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📰 Solution: Solve $ 2\sin(2z) + 1 = 0 \Rightarrow \sin(2z) = -rac{1}{2} $. The general solutions for $ 2z $ are $ 2z = 210^\circ + 360^\circ k $ and $ 2z = 330^\circ + 360^\circ k $, where $ k \in \mathbb{Z} $. Dividing by 2, $ z = 105^\circ, 165^\circ, 285^\circ, 345^\circ $ within $ [0^\circ, 360^\circ] $. The sum is $ 105 + 165 + 285 + 345 = 900^\circ $. oxed{900} 📰 Question: In spherical coordinates, find the equation describing a cone with half-angle $ 60^\circ $ centered along the $ z $-axis. 📰 Solution: A cone with half-angle $ lpha $ in spherical coordinates is defined by $ \phi = lpha $. For $ 60^\circ $, the equation is $ \phi = 60^\circ $. oxed{\phi = 60^\circ} 📰 Best Turn Based Rpg Games 2049274 📰 Midnight Purple 154114 📰 Give Up Your Old Suv For The Kia Carnival 2025Lifes Never Been This Sweet 7017938 📰 Hush Batman The Secret Villain Pulling The Threads Behind Gothams Darkest Nights 18771 📰 Gbp Jpy Spike Alert The Surprising Move Thats Changing Trading Forever 9624434 📰 Discover Veracityte The Science Behind Absolute Accuracy You Need To Know Now 4655633 📰 This Rapier Sword Changed The Game Of Close Combat Forever 661444 📰 Verizon Com Move 8065268 📰 Can These Top Stocks Take The Lead In August 2025 You Wont Believe Their Potential 1394599 📰 Pennsylvania Scranton University 1457540 📰 How Yuji Itadori Defeated The Devilwatch This Game Changing Moment Go Viral 7833931 📰 Unlock The Ultimate Apple News Hub On Iphonebreaking News Delivered Instantly 7388238 📰 Midwest Usa 2900545 📰 Sedg Yahoo Finance The Untold Story Behind Todays Biggest Market Rise Boost Your Investments Now 6969100 📰 New Release Movies Streaming 4256156