Find the Exact Value cot(330)

Problem

cot(330)

Solution

1. Identify the reference angle by finding the difference between 330 and 360

(θ_ref)=360−330=30

2. Determine the quadrant of the angle 330 which is in Quadrant IV.

Quadrant IV

3. Determine the sign of the cotangent function in Quadrant IV, where tangent and cotangent are negative.

cot(330)=−cot(30)

4. Apply the known exact value for cot(30) which is √(,3)

cot(30)=√(,3)

5. Combine the sign and the value to find the final result.

cot(330)=−√(,3)

Final Answer

cot(330)=−√(,3)

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