Find the Exact Value cot(330 degrees )

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 lies in Quadrant IV.

Quadrant IV

3. Apply the sign rule for the cotangent function in Quadrant IV, where cotangent is negative.

cot(330)=−cot(30)

4. Evaluate the cotangent of the reference angle using the known value for 30

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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