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Home » We proceed as follows for one fixed $ i $: - Appfinity Technologies

We proceed as follows for one fixed $ i $: - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 So, \( \sin \theta = \frac{1}{2} \) or \( \sin \theta = -1 \).

📌 Solve for \( \theta \in [0^\circ, 360^\circ] \):

📌 If \( \sin \theta = \frac{1}{2} \), then \( \theta = 30^\circ, 150^\circ \)

📌 If \( \sin \theta = -1 \), then \( \theta = 270^\circ \)

📌 Check each solution in the original equation:

📌 \( \theta = 30^\circ \): \( \cos 60^\circ = \frac{1}{2},\ \sin 30^\circ = \frac{1}{2} \) → valid

📌 \( \theta = 150^\circ \): \( \cos 300^\circ = \frac{1}{2},\ \sin 150^\circ = \frac{1}{2} \) → valid

📌 \( \theta = 270^\circ \): \( \cos 540^\circ = \cos 180^\circ = -1,\ \sin 270^\circ = -1 \) → valid

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