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you make smile uncle kracker - Malaeb

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Using the identity $ \cos(90^\circ - x) = \sin x $, but here we use:

📌 \cos(2lpha - 90^\circ) = \sin(2lpha),

📌 since $ \cos(90^\circ - x) = \sin x $, but sign depends on identity:

📌 \cos(2lpha - 90^\circ) = \cos(90^\circ - 2lpha) = \sin(2lpha) \quad ext{(since } \cos(90^\circ - x) = \sin x ext{)}.

📌 \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.

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