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How do you evaluate $cot (690)$ ?

1 Answer

A. S. Adikesavan · Oscar L.

Jul 2, 2016

$-sqrt 3$

Explanation:

$690=720-30=4(180)-30$ .So, $690°$ is in the 4th quadrant

and, therefore, $cot$ is negative.

And so, $cot 690°=cot(4(180°)-30°)=-cot 30°=-sqrt 3$ .

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