How do you determine the quadrant in which the angle #-336^circ# lies?

1 Answer
Jan 18, 2017

Add the value to 360 to find the corresponding “positive” angle.

Explanation:

The “quadrants” start in the positive-positive x-y quarter of the Cartesian plane and progress clockwise around it. The respective degree boundaries are I: 0-90, II: 90-180, III: 180-270, IV: 270-360.

A ‘negative’ angle just means that it is taken in the counter-clockwise direction from #0^o#.

Add the value to 360 to find the corresponding “positive” angle.
360 + (-336) = 24

#24^o# is in the first quadrant.