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Home » $2\sin(z) - 1 = 0 \implies \sin(z) = \frac12$ - jntua results

$2\sin(z) - 1 = 0 \implies \sin(z) = \frac12$ - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \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)}

📌 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 identity correctly:

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