How do you find the exact value of #cot^-1(-sqrt3/2)#?

1 Answer
Dean R.
May 9, 2018

#arctan(-2/sqrt{3})# is about as good as answer as any.

Explanation:

That one doesn't have the nice answer you might think it would.

A cotangent of #-sqrt{3}/2# refers to a right triangle with sides #sqrt{3}# and #2# so hypotenuse #sqrt{7}.#

#\sqrt{3}/2# is a common sine or cosine, but it's not a common cotangent. There's no nice form for this angle.

#arctan(-2/sqrt{3})# is about as good as answer as any.

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