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Math Help - Trigonometry

  1. #1
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    Trigonometry

    Find the supplement of the radian measure 7 π /8. Express your answer in terms of π .
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  2. #2
    Member Jonboy's Avatar
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    Remember a while back when you had, say, 36 degrees; and you had to find the supplement ?

    You set up this equation: 36 + x = 180

    And then solved for x.

    We do the same, except now it's gonna be in terms of \pi.

    So: \frac{7\pi}{8} + x = 180

     x = 180 - \frac{7\pi}{8}

    Subbing 2\pi for 180 will make this easier:

     x = 2\pi - \frac{7\pi}{8}

    Get that common denominator: \frac{16\pi}{8} - \frac{7\pi}{8} = \frac{16\pi - 7\pi}{8} = \boxed{\frac{9\pi}{8}}\;\;radians
    Last edited by Jonboy; June 30th 2008 at 04:23 PM. Reason: techinicality
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