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Home » No More Weak Word Choices—OneLook Thesaurus Has Every Synonym Youve Ever Needed, Fast! - Moon Smoking

No More Weak Word Choices—OneLook Thesaurus Has Every Synonym Youve Ever Needed, Fast! - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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\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...
\cos(2lpha - 90^\circ) = \cos(90^\circ - 2lpha) = \sin(2lpha) \quad...
Better:
\cos(2lpha - 90^\circ) = \cos(90^\circ - 2lpha) = \sin(2lpha) \quad...
Actually, $ \cos(90^\circ - x) = \sin x $, so $ \cos(2lpha - 90^\circ...
\sin(2lpha) = \cos(2lpha - 90^\circ) = rac{1}{3}.
So $ \sin(2lpha) = rac{1}{3} $.
Therefore, the value is

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