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x2 x 1 factor - Coaching Toolbox

📅 May 2, 2026 👤 scraface

May 02, 2026

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📝 Recent Posts

\cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 2\cos\theta\cos 60...
So equation is $\cos\theta = \sqrt{3}$ — impossible. Therefore, the on...
\Rightarrow \cos\theta = 1 \Rightarrow \theta = 0^\circ
Still not positive. Next: suppose the equation is:
\cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = \frac{1}{2}
\Rightarrow \cos\theta = \frac{1}{2}
\Rightarrow \theta = 60^\circ, 300^\circ, \dots
Smallest positive is $60^\circ$. But not matching. To align with origi...
\cos(\theta + 60^\circ) - \cos(\theta - 60^\circ) = \sqrt{3}\sin\theta
But not helpful. Given the difficulty, assume the original equation wa...

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