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Home » Thus, the final answer is \(\boxed\frac2\sqrt39\pi\).Question: - AMAZONAWS

Thus, the final answer is \(\boxed\frac2\sqrt39\pi\).Question: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \cos(2lpha - 90^\circ) = \cos(90^\circ - 2lpha) = \sin(2lpha) \quad ext{only if adjusting sign properly}.

📌 \cos(2lpha - 90^\circ) = \cos(90^\circ - 2lpha) = \sin(2lpha) \quad ext{? No.}

📌 Actually, $ \cos(90^\circ - x) = \sin x $, so $ \cos(2lpha - 90^\circ) = \cos(90^\circ - 2lpha) = \sin(2lpha) $. Yes.

📌 \sin(2lpha) = \cos(2lpha - 90^\circ) = rac{1}{3}.

📌 So $ \sin(2lpha) = rac{1}{3} $.

📌 Therefore, the value is

📌 oxed{rac{1}{3}}

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