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princess sunset resort playa del carmen - Coaching Toolbox

📅 May 2, 2026 👤 scraface

May 02, 2026

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

📌 So $\cos\theta = \sqrt{3}$ — still impossible. Hence, original equation must be incorrect. But suppose instead:

📌 Then $\cos\theta = 1 \Rightarrow \theta = 0^\circ$. But not minimal positive. Try:

📌 Wait—what if the equation is:

📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = \sqrt{3} \cdot \cos\theta

📌 But that's identity. So instead, suppose the intended equation is:

📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = \sqrt{3}

📌 \Rightarrow \cos\theta = \sqrt{3} \quad \text{(impossible)}

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