Thread: Find all x in degrees

Find all x in degrees, 0 <= x <= 360 without calculator
sinx = -sqrt(3)/2
cotx = sqrt(3)/3
x = arctan(-1)
I have an idea how to do these, but I just need to make sure and see the work done. Thanks in advance

Well I remember somethings about inverse function being only in specific intervals, for example Sin only in quadrants 2 and 3, but whenever I solve this using the angle -60 degrees, I get the angle 120 and 240, while the correct answer is actually 240 and 300. Am i just messing the quadrants up? Also for the cotangent one, I took the inverse of sqrt(3)/3 and got sqrt(3), which is equal to 60 degrees, however going back to my possible misconceptions about the intervals, I get the answers 60 and 300 while the answer is 60 and 240

If you have an idea on how to do these, show us your idea. Then we can correct any misconceptions.