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.

Related questions
See all questions in Basic Inverse Trigonometric Functions
Impact of this question
5043 views around the world
You can reuse this answer
Creative Commons License