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Home » Answer:** \(\boxed50^\circ\) - Midis

Answer:** \(\boxed50^\circ\) - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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First, solve for \(\cos(2z)\):
2\cos(2z) = \sqrt{3} \quad \Rightarrow \quad \cos(2z) = \frac{\sqrt{3}...
The general solutions for \(\cos(2z) = \frac{\sqrt{3}}{2}\) are:
2z = 30^\circ + 360^\circ n \quad \text{or} \quad 2z = 330^\circ + 360...
Divide by 2 to find \(z\):
z = 15^\circ + 180^\circ n \quad \text{or} \quad z = 165^\circ + 180^\...
For \(z \in [0^\circ, 360^\circ]\), evaluate:
\(z = 15^\circ, 195^\circ\) from \(15^\circ + 180^\circ n\)
\(z = 165^\circ, 345^\circ\) from \(165^\circ + 180^\circ n\)
Sum these angles:

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