Are the points (π/2) and (3π/2) undefined or zero on a cot function?

Answer 1

Since the cotan function is 1/tan then wherever tan(x) =∞ the cotan(x)=0 and tan(π/2) and tan(3π/2)→∞ so cotan of those angles are 0

Jim

Answer 2

First, break down this problem by expanding cot(x):

cot(x) = 1/tan(x) = cos(x)/sin(x)

Now, find sin and cos values for pi/2 and 3pi/2

sin(pi/2) = 1, sin(3pi/2) = -1

cos(pi/2) = 0, cos(3pi/2) = 0

Now you can go back to the cot equation and solve:

cot(pi/2) = 0/1 = 0

cot(3pi/2) = 0/-1 = 0

Answer 3

tan(pi/2) is undefined, so the contangent is zero

same is true for 3*pi/2