maths trigonometry

if cottheta=7/8 then what is the value of 1+costheta/1-sintheta*1-costheta/1+sintheta.

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  1. tan T = 8/7 = sin T/cos T

    8 cos T = 7 sin T
    -----------------------------

    (1+cos T)(1-cosT)
    __________________
    (1-sin T) (1+sin T)

    that is easy

    1 - cos^2 T
    ____________
    (1 - sin^2 T)

    but

    1-cos^2 = sin^2 and 1 - sin^2 = cos ^2

    so

    sin^2 T/cos^2 T = tan^2 T = 8^2/7^2 = 64/49

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    posted by Damon

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