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tan 75 (show all work please)

  • Trig -

    Using tan(A+B) = (tanA + tanB)/(1-tanAtanB)

    tan75
    = tan(45+30)
    = (tan45+tan30)/(1-tan45tan30)
    = (1 + 1/√3)/(1 - (1)(1/√3)
    multiply top and bottom by √3
    = (√3 + 1)/(√3 - 1)

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