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Home » how to find circumference by diameter - Coaching Toolbox

how to find circumference by diameter - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 2\cos(2z) = \sqrt{3} \quad \Rightarrow \quad \cos(2z) = \frac{\sqrt{3}}{2}

📌 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^\circ n

📌 Divide by 2 to find \(z\):

📌 z = 15^\circ + 180^\circ n \quad \text{or} \quad z = 165^\circ + 180^\circ n

📌 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 \(165^\circ + 180^\circ n\)

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