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Home » Then sum of even divisors is total minus odd: - Get link 4share

Then sum of even divisors is total minus odd: - Get link 4share

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Square and add the equations:

📌 \[ (a \sin(c))^2 + (a \cos(c))^2 = (-1)^2 + 1^2 \]

📌 \[ a^2 (\sin^2(c) + \cos^2(c)) = 1 + 1 = 2 \]

📌 \[ a^2 = 2 \quad \Rightarrow \quad a = \sqrt{2} \]

📌 With \( a = \sqrt{2} \), use:

📌 \[ \sqrt{2} \sin(c) = -1 \quad \Rightarrow \quad \sin(c) = -\frac{1}{\sqrt{2}} \]

📌 \[ \sqrt{2} \cos(c) = 1 \quad \Rightarrow \quad \cos(c) = \frac{1}{\sqrt{2}} \]

📌 These values correspond to \( c = -\frac{\pi}{4} \) (since \(\sin(c) = -\frac{1}{\sqrt{2}}\) and \(\cos(c) = \frac{1}{\sqrt{2}}\)).

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