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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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