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Trigonometry write tan in terms of cosec

  • maths -

    oh my csc = 1/sin as I remember
    so
    sin = 1/csc

    tan = sin/cos
    but cos = sqrt(1-sin^2)
    so
    tan = sin/sqrt(1-sin^2
    = 1/csc / [ sqrt(1 - 1/cssc^2)]
    multiply top and bottom by csc
    tan = 1/ [sqrt( csc^2-1)]

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