SOLUTION: how do you show your work for the question? find one angle with positive measure and one angle with negative measure coterminal with -310.

Question 454990: how do you show your work for the question?
find one angle with positive measure and one angle with negative measure coterminal with -310.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
how do you show your work for the question?
find one angle with positive measure and one angle with negative measure coterminal with -310�

First we draw the picture of -310�. We start at
the right side of the x-axis, then swing downward
and around in the CLOCKWISE direction through 310�,
as shown by the black CLOCKWISE arc below:

  

Notice that 310� just lacks 50� being 360�, since 
360�-310� = 50� so the positive angle 50� measured in the 
COUNTER-CLOCKWISE direction is coterminal with -310�, as 
shown by the COUNTER-CLOCKWISE red arc below:

 

So a positive angle coterminal with -310� is 50�.

To find a negative angle coterminal with -310, we
just need to go around 360� more in the CLOCKWISE 
direction like this:



which means we just add -360� to -310� and get -670�.

So a negative angle coterminal with -310� is -670�.

Edwin

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