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Home » Integers are 6 and 7 (considering positive integers). - Groen Casting

Integers are 6 and 7 (considering positive integers). - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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

📌 So the equation is $\cos\theta = \sqrt{3}$, which is impossible. Thus, reconsider the original problem—instead, suppose the equation was meant to be:

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