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21 May, 07:28

Evaluate and simplify tan 15º.

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  1. 21 May, 10:09
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    Tan (15) = tan (45 - 30)

    = [tan (45) - tan (30) ] / [ 1 + tan (30) tan (45) ]

    = (1 - 1/sqrt (3)) / (1 + 1/sqrt (3))

    = (sqrt (3) - 1) / (sqrt (3) + 1)

    = (sqrt (3) - 1) ^2 / (3 - 1)

    = 1/2 [3 + 1 - 2sqrt (3) ]

    = (2 - sqrt (3))

    = 0.27 is your answer
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