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Math Help - Co terminal Angle?

  1. #1
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    Co terminal Angle?

    I need to find a positive co-terminal angle for 120 deg. and one for pie/5
    and a negative co-terminal angle for 420 deg. and one for 3 pie/5
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  2. #2
    MHF Contributor
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    Positive angle that is co-terminal with 120 deg.
    One of them is (120 +360) = 480 degrees. ---answer.
    Everytime you do 1 revolution (360 deg), you will get one more.

    Positive angle that is co-terminal with pi/5.
    In radians, 1 revolution is 2pi, so,
    One of them is (pi/5 +2pi) = (pi +10pi)/5 = 11pi/5 ---answer.
    Everytime you do 1 revolution (2pi), you will get one more.

    Negative angle that is co-terminal with 420 deg.
    420 deg is (360 +60) deg. It is is the 1st quadrant.
    So, measuring clockwise, -360 +60 = -300 degrees ----answer.
    Everytime you do 1 revolution (-360deg), you will get another one.

    Negative angle that is co-terminal with 3pi/5.
    3pi/5 is 0.6pi. It is more than pi/2, but less than pi, so it is in the 2nd quadrant.
    Meausing clockwise, -2pi +(3pi/5) = (-10pi +3pi)/5 = -7pi/5 ---answer.
    Everytime you do 1 revolution (-2pi), you will get another one.
    Last edited by ticbol; June 24th 2005 at 04:51 AM.
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