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26 March, 04:00

Find the exact value of : cos (2 arctan (4/3))

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  1. 26 March, 04:22
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    Cos (2 arctan (4/3)) = cos (2 arccos (3/5)) = cos^2 (arccos (3/5)) - sin^2 (arccos (3/5)) = cos^2 (arccos (3/5)) - sin^2 (arcsin (4/5)) = (3/5) ^2 - (4/5) ^2 = 9/25 - 16/25 = - 7/25.
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