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\[ a^2 (\sin^2(c) + \cos^2(c)) = 1 + 1 = 2 \] - AMAZONAWS
\[ a^2 (\sin^2(c) + \cos^2(c)) = 1 + 1 = 2 \] - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 Total sensors = 120 + 150 + 90 = <<120+150+90=360>>360
📌 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}
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