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24 September, 07:25

find the exact value of tan22.5 using the half angle formula.

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  1. 24 September, 10:52
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    Tan (a/2) = sin a / (1 + cos a)

    tan (45/2) = sin (45) / (1 + cos (45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1) / √2 = 1 / (√2 + 1) = (√2 - 1)
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