Question

Find the exact value of the following.
arctan(−sqrt3)

Answer 1

I can start you out:

Let

theta=arctan(-sqrt3)
tan(theta)=-sqrt(3)

Answer 2

When I worked it out I got (2pi)/3, and (5pi)/3 but it's not the correct answer.

Answer 3

okay :
the answer is -pi/3

Answer 4

Thank you.

Answer 5

you can reason on that answer, ask your self, if i look at the unit circle would 2pi/3 give me -sqrt(3)?

Answer 6

I know where I went wrong. When I was looking at the unit circle I was figuring out what theta value would create -sqrt3 for cot.