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today were going to talk about how to find coterminal angles one positive and one negative in units of radians and degrees so lets say if you have the angle 30 degrees how can you find the coterminal angle heres the quick way of getting the answer you need to add 360 degrees and you need to subtract 360. or take away 360 from 30. so the positive coterminal angle is going to be 30 plus 360 which is 390 and the negative coterminal angle is 30 minus 360 or negative 330. now lets talk about what this means a 30 degree angle is in quadrant one so here we have 0 90 180 and 270. so between 0 and 90 this is quadrant 1 between 90 and 180 quadrant 2 this is quadrant 3 and quadrant 4. so heres the 30 degree angle when we add 360 to it this is 30 360 will take you all the way to 390. 390 and 30 degrees theyre at the exact location they have the same point so to speak and thats why theyre called terminal angles because they land on the exact same point on the graph the only difference is 39
