Find the Exact Value cot(31)

Problem

cot(31)

Solution

1. Identify the expression as the cotangent of an angle measured in degrees.

2. Determine if the angle 31 is a standard reference angle (such as 0,30,45,60,90.

3. Conclude that since 31 is not a standard reference angle and cannot be easily expressed using sum, difference, or half-angle formulas of standard angles, the exact value is written in its simplest trigonometric form.

4. Express the value using the reciprocal identity if needed, where cot(θ)=1/tan(θ)

Final Answer

cot(31)=cot(31)

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