The question goes as follows: "Find two positive angles less than 360 deg. whose trigonometric function is given. Round angles to a tenth of a deg." I am given
cot \theta \equiv -.2315. So what I do is I find the reciprocal of that number to allow me to use the tan inverse function. After that, I am left with -77 deg. Well it is pretty explicit that -77 deg. is not a positive angle, so, I surmise then that +77 deg is a positive angle in the first quadrant wherein the tan/cot is positive; I also know that the tan/cot is positive in the third, so then I add 77 deg. to 180 deg and come up with 257 deg. So in my mind, I believe the two angles to be 77 and 257 deg--yet, as I turn the pages so confidently to the answer key, I find answers to be: 103 and 283 deg. Why is this so?