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21 November, 16:54

Express tan22.5 using cos45

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  1. 21 November, 17:12
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    Cos45 = cos (2*22.5) = (cos22.5) ^2 - (sin22.5) ^2 = (cos22.5) ^2 * (1 - (tan22.5) ^2)

    = (1 + cos45) / 2 * (1 - (tan22.5) ^2)

    Now, solve for tan22.5:

    tan22.5 = sqrt (1 - 2cos45 / (1+cos45))
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