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Home » The probability is $\boxed\dfrac56143$.1. **Question: - Upplift

The probability is $\boxed\dfrac56143$.1. **Question: - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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\cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = \sqrt{3}
\Rightarrow \cos\theta = \sqrt{3} \quad \text{(impossible)}
Thus, no solution. But to fix, suppose the equation is:
2\cos\theta = \sqrt{3} \Rightarrow \cos\theta = \frac{\sqrt{3}}{2}
\Rightarrow \theta = 30^\circ \text{ or } 330^\circ
Smallest positive is $30^\circ$. But not matching. Re-express the iden...
\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:

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