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Math Help - Find and angle between 0 and 2pi that is coterminal with the angle given by - 77pi/5

  1. #1
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    Find and angle between 0 and 2pi that is coterminal with the angle given by - 77pi/5

    find an angle between 0 and 2pi that is coterminal with the angle given by -77pi/5

    thanks! much appreciated
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  2. #2
    Senior Member Twig's Avatar
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     \frac{-77 \pi}{5} = -15 \pi -\frac{2 \pi}{5}

    Angle coterminal with  -\frac{2 \pi}{5} \mbox{ is } \frac{8 \pi}{5}
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  3. #3
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    sorry but can you explain that a bit because my math teacher is really picky about the work we show.

    shouldnt it be:

    -77pi/5 + 2pi + 2pi + 2pi + 2pi + 2pi + 2pi + 2pi + 2pi = 3pi/5 ?
    Last edited by mathstupid; April 16th 2009 at 01:21 AM.
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  4. #4
    Senior Member Twig's Avatar
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    oops, yeah sry,  \frac{3\pi}{5} is right.

     \frac{-77\pi}{5} = -15\pi -\frac{2\pi}{5} (You can check this).

    Now  -15\pi is "being at the same place" as just  \pi .

    So being at pi,  \frac{5\pi}{5} - \frac{2\pi}{5} = \frac{3\pi}{5}
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