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cot ((9pi)/(2))

$10$ ) $\cot \frac{9 \pi}{2}$

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Evaluate rational exponents

Full solution

Q.

10

)

\cot \frac{9 \pi}{2}

Unit Circle Explanation: Now, let's think about the unit circle. The angle $(9\pi)/2$ is the same as $2\pi + (\pi)/2$ , which is $90$ degrees more than two full circles. This means we're looking at the top of the unit circle where the tangent is undefined because we're dividing by zero.
Tangent and Cotangent: Since $\tan\left(\frac{9\pi}{2}\right)$ is undefined, the cotangent, which is the reciprocal of the tangent, is also undefined.

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