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21 July, 13:03

Solve cot 5pi/12

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  1. 21 July, 15:35
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    Cot (5pi/12) = tan (pi/12)

    tan (x/2) = (1 - cos (x)) / sin (x))

    tan (pi/12) = tan ((pi/6) / 2) = (1 - cos (pi/6)) / sin (pi/6))

    sin (pi/6) = 1/2

    cos (pi/6) = sqrt (3) / 2

    so ...

    tan (pi/12) = (1 - sqrt (3) / 2) / (1/2) = 2 - sqrt (3)
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