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2 November, 08:06

Find the exact value of sin22.5 (using the half angle formula)

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  1. 2 November, 11:47
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    Sin (a/2) = √ (1/2 (1 - cos a))

    sin 22.5 = sin (45/2) = √ (1/2 (1 - cos 45)) = √ (1/2 (1 - 1/√2)) = √ (1/2 (√2 - 1) / √2) = √ (√2/4 (√2 - 1)) = √ (2 - √2) / 2
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