SOLUTION: find two angles, one positive and one negative, that are coterminal with each given angle. 500 degrees

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Question 1147032: find two angles, one positive and one negative, that are coterminal with each given angle. 500 degrees
Answer by ikleyn(52771)   (Show Source): You can put this solution on YOUR website!
.
1)  one positive . . . 


    First thing that comes to the mind is 500 degrees, the same angle.


    But if you want to have "other" angle,  you may add 360 degrees as many times as you want.


    Or you can subtract 360 degrees until the angle measure is still positive.


    By subtracting, you get  500 - 360 = 140 degrees, which is your answer in this case.


    Notice that this angle of 140 degrees is in the range between 0 (zero) and 360 degrees.  

    It is called principal coterminal angle to the given angle.




2)  One negative . . . 


    Subtract 360 degrees from 500 degrees as many time as you want, until the measure of the angle is negative.


    Subtracting one time is not enough, but subtracting TWO TIMES gives you the angle

        500 - 360 - 360 = -220 degrees.


    Notice that this angle of -220 degrees is in the range between 0 and -360 degrees.


    It is your answer in this case.


Solved, explained and completed.


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