How do you evaluate cot((3pi)/2)?

2 Answers
Alan P.
May 4, 2015

If you consider an angle to be positioned
centered on the origin of the Cartesian plane
with a base arm along the positive X-axis
then
the terminal arm of (3pi)/2 is along the negative Y-axis.

The cot((3pi)/2) is the value of x divided by the value of y for any point along the terminal arm.
x=0 for all points along the terminal arm

cot((3pi)/2)=0

Nghi N.
May 5, 2015

cot (3pi)/2 = cot(pi/2 + pi) = cot pi/2
On the trig unit circle cot (pi/2) = 0, then
cot ((3pi)/2) = 0

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