Trig
posted by Lori .
What is the exact value of cot(4pi/3)?
Do not use a calculator.

4pi/3 is in quadrant III
the tangent of a 3rd quadrant angle is positive so
cot(4pi/3)
= 1/tan(4pi/3) , the angle in standard position is pi/3
= 1/tanpi/3
= 1/√3