Find the exact value using reference angles:

\(\cot \left(-\frac{53\pi}{6}\right)\)

It's the same as cot (-150 or -5pi/6) and that's a reference angle of 30 so cot 30 or pi/6 is sqrt (3) and since it's in the 3rd quadrant, it's positive.

Answered by HannahN | 2024-06-10

cot(-53π/6) = cot(7π/6) = √(3) ;

Answered by GrandNecro | 2024-06-12

The exact value of cot ( − 6 53 π ​ ) is 3 ​ . To find this, we converted the angle to a positive equivalent using periodic properties and reference angles. Then, we evaluated the cotangent in the corresponding quadrant, yielding the final answer.
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Answered by GrandNecro | 2024-11-04