Question

Evaluate cot (-8 pi/3) without using a calculator!
Show work and explain please!

Answer 1

what do you get?

Answer 2

i can't figure out if i'm supposed to multiply by -2 to get to (-8 pi/3) idk what to do lol!!!

Answer 3

let me draw a picture

2pi + 2pi/3 = 8pi/3
the neg just means you are going in opposite direction
reference angle is pi/3, thats how far you are from axis
you are in 3rd quad ---> tan and cot will be positive

cot(pi/3) = 1/tan(pi/3) = 1/sqrt3