Question 1063352
If the cot is -2, the tangent is -1/2, since they are reciprocals.
cosine is negative in the second and third quadrants only, but in the third quadrant both the sine and cosine are negative, so the tangent and cotangent are positive

This has to be in the second quadrant.
The triangle is a 1,2, sqrt (5), and the cosine is -2/sqrt (5) or -2 sqrt(5)/5. The tangent is 1/-2 and the cotangent is -2/1
It happens to occur at 153.43 degrees.