Question

from the intervals 0 less than or equal to theda less than 2 pie, what is cot theda of 2

Answer 1

Do you want the angle whose cotangent is 2? That would be written
cot^-1 2
It is the same as the angle(s) with tangent 1/2.

Since you want it in radians, it is 0.4636 radians in the first quadrant of pi plus that number in the third quadrant.