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Home » But let's check: 3.14 × 49 = 153.86 — correct - Dachbleche24

But let's check: 3.14 × 49 = 153.86 — correct - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 + 2\sin z \cos z = 1 \Rightarrow 2\sin z \cos z = 0 \Rightarrow \sin 2z = 0

📌 So, \(2z = 0^\circ, 180^\circ, 360^\circ, 540^\circ, \ldots\), giving:

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

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

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

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

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

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

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