Question
Find the exact value in degrees. cot^-1(-1)
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GPT 3.5
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.
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.
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