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02-05-2021
Mathematics

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If sin12 = k determine cos24 in terms of k

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LammettHash LammettHash

02-05-2021

Recall the double-angle identity,

sin²(x) = (1 - cos(2x)) / 2

Now if sin(12°) = k, then

k ² = sin²(12°) = (1 - cos(24°)) / 2

→ cos(24°) = 1 - 2k ²

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