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Home » Number of doubling periods = 18 ÷ 3 = 6 - Crosslake

Number of doubling periods = 18 ÷ 3 = 6 - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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We start with the given equation:
\sin(2z) = \cos(z)
Using the double angle identity for sine, \(\sin(2z) = 2\sin(z)\cos(z)...
2\sin(z)\cos(z) = \cos(z)
Assuming \(\cos(z)
eq 0\), we can divide both sides by \(\cos(z)\):
2\sin(z) = 1 \quad \Rightarrow \quad \sin(z) = rac{1}{2}
The solutions to \(\sin(z) = rac{1}{2}\) within the range \(0^\circ \...
z = 30^\circ, \quad z = 150^\circ
Next, consider the case where \(\cos(z) = 0\):

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