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Home » But in math olympiad, maybe exact. But solution format says final answer boxed. - Crankk.io

But in math olympiad, maybe exact. But solution format says final answer boxed. - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 z = 0^\circ, 90^\circ, 180^\circ, 270^\circ, 360^\circ

📌 Now check which satisfy the original equation \(\sin z + \cos z = 1\):

📌 \(z = 0^\circ\): \(\sin 0 + \cos 0 = 0 + 1 = 1\) ✓

📌 \(z = 90^\circ\): \(\sin 90 + \cos 90 = 1 + 0 = 1\) ✓

📌 \(z = 180^\circ\): \(\sin 180 + \cos 180 = 0 - 1 = -1\) ✗

📌 \(z = 270^\circ\): \(\sin 270 + \cos 270 = -1 + 0 = -1\) ✗

📌 \(z = 360^\circ\): same as \(0^\circ\), so ✓

📌 Valid solutions: \(0^\circ, 90^\circ, 360^\circ\). Sum:

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