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Total samples: 10,240 - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 New total: 28.8 + 21.6 + 7.2 = <<28.8+21.6+7.2=57.6>>57.6 ms

📌 #### 57.6**Question:** Compute \(\cos 45^\circ + \cos 225^\circ\).

📌 First, we calculate \(\cos 45^\circ\) and \(\cos 225^\circ\) separately.

📌 \cos 45^\circ = \frac{\sqrt{2}}{2}

📌 For \(\cos 225^\circ\), since \(225^\circ = 180^\circ + 45^\circ\), we use the cosine angle addition identity:

📌 \cos 225^\circ = \cos(180^\circ + 45^\circ) = -\cos 45^\circ = -\frac{\sqrt{2}}{2}

📌 Now, adding the two values:

📌 \cos 45^\circ + \cos 225^\circ = \frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2} = 0

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