Miguel Hendrix

2023-03-09

How to find the exact value of $\mathrm{cot}\frac{5\pi }{4}$?

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Find exact value of $\mathrm{cot}\left(\frac{5\pi }{4}\right)$
Answer: Explanation: Within the trig unit circle,
$\mathrm{cot}\left(\frac{5\pi }{4}\right)=\mathrm{cot}\left(\frac{\pi }{4}+\pi \right)=\mathrm{cot}\left(\frac{\pi }{4}\right)$
Given by the Trig Table of Special Arcs $\mathrm{cot}\left(\frac{\pi }{4}\right)=1.$

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