Question

For what value of Θ is cotΘ undefined?
0 degrees , 180 degrees , or 270 degrees

Answer 1

180 Degrees, or pi radians

Explanation:

In a unit circle, cot(x) is defined as the x coordinate over the y coordinate, or
`cos(x)/sin(x)`.
For cot(x) to be undefined, that would mean for sin(x) to be zero, as dividing by zero makes it infinity.
Out of your possible answers,
`sin(3\pi/2)=-1`,
`sin(0)=1,`and
`sin(\pi))=0`, meaning that 180 degrees is the right answer.