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Home » The area is \( x \times 2x = 10 \times 20 = 200 \) square meters. - Abu Waleed Tea

The area is \( x \times 2x = 10 \times 20 = 200 \) square meters. - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \cos A + \cos B = 2 \cos\left(\frac{A + B}{2}\right) \cos\left(\frac{A - B}{2}\right)

📌 Let $A = \theta + 60^\circ$, $B = \theta - 60^\circ$. Then:

📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 2 \cos\theta \cos 60^\circ

📌 Since $\cos 60^\circ = \frac{1}{2}$, we have:

📌 \cos\theta \cdot \frac{1}{2} = \cos\theta

📌 \cos\theta = \sqrt{3}

📌 But $\cos\theta = \sqrt{3}$ has no real solution since $|\cos\theta| \leq 1$. This suggests an error in assumption—we must re-evaluate the expression. Wait: correction in identity use. Actually:

📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 2 \cos\theta \cos 60^\circ = 2 \cos\theta \cdot \frac{1}{2} = \cos\theta

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