SOLUTION: Determine the measure of the positive angle with a measure less than 360° that is coterminal with the 765 degree and then classify the angle by quadrant. Assume the angles are in

Algebra ->  Trigonometry-basics -> SOLUTION: Determine the measure of the positive angle with a measure less than 360° that is coterminal with the 765 degree and then classify the angle by quadrant. Assume the angles are in       Log On


   

Question 1184999: Determine the measure of the positive angle with a measure less than 360° that is coterminal with the 765 degree and then classify the angle by quadrant. Assume the angles are in standard position.
Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
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From the measure 765 degrees, subtract the full rotation angle of 360 degrees so many times to get the difference between 0 and 360 degrees.


In your case, it is necessary and sufficient to subtract 360 degrees from 765 degrees TWICE

to get the coterminal angle of  765 - 2*360 = 45 degrees.


The angle is in the first quadrant.

Solved and explained.