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Home » \(\theta = 30^\circ, 90^\circ, 150^\circ, 270^\circ\). - Ready Digital AB

\(\theta = 30^\circ, 90^\circ, 150^\circ, 270^\circ\). - Ready Digital AB

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 1

📌 But given it's $\sqrt{3}$, and since maximum of $\cos\theta$ is 1, no solution. Therefore, perhaps the equation is misstated. Alternatively, suppose symmetry: use sum again:

📌 \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:

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