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Math Help - Determining The Principle Angle Help!?!

  1. #1
    MP3
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    Determining The Principle Angle Help!?!

    Hi everyone, i've gotten this question today at school and i know how to do it but i just want to know why?

    The question is,

    Determine the principle angel

    1) -730
    2) 905

    When i do the first question i have to mutiply -730 by 3 to get -1080 and then i subtract it to get -350 (which is the correct answer)

    When i do the seconed question i have to mutiply 360 by 2 to get 720 and subtract 905 from 720 to get 185 (which is the correct answer)

    But! i dont know why one question i need to mutply by 3 and the other one i mutiply by 2. Perhaps there is a simpler method in doin this? Please help because im in desperate need! Thank you
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  2. #2
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    You don't multiply -730 by 3.
    You must always add/subtract a multiple of 360 degrees from the angle given. In this case multiply 360 by 3. Add that to your given angle to get +350 degrees for an angle between 0 and 360 degrees. Or multiply 360 by 2 and add that to your given angle to get -10 degrees for an angle between -180 and +180.

    Which you want depends on how the principle angle is defined.
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  3. #3
    MP3
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    I dont really understand, mind explaining it to me once again?

    Quote Originally Posted by mnova View Post
    You don't multiply -730 by 3.
    You must always add/subtract a multiple of 360 degrees from the angle given. In this case multiply 360 by 3. Add that to your given angle to get +350 degrees for an angle between 0 and 360 degrees. Or multiply 360 by 2 and add that to your given angle to get -10 degrees for an angle between -180 and +180.

    Which you want depends on how the principle angle is defined.
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