Find the exact value in degrees. cot^-1(-1)

The cotangent function returns the ratio between the adjacent side and the opposite side of a right triangle.

The inverse cotangent function (cot^⁻1 or arccot) returns the angle in degrees whose cotangent is the given value.

cot^⁻1(-1) asks for the angle whose cotangent is -1.

A ratio of -1 occurs for an angle of 135 degrees or 315 degrees.

Therefore, the exact value in degrees for cot^⁻1(-1) is 135 degrees or 315 degrees.