# How do you sketch one cycle of y=cotx?

Nov 20, 2016

#### Answer:

Graph is inserted. See explanation.

#### Explanation:

The period ( cycle ) of cot x is $\pi$.

In one cycle $x \in \left(0 , \pi\right)$,

the ends $x = 0 \mathmr{and} x = 0 \mathmr{and} x = \pi$ are points if infinite

discontinuity. The midpoint is $\left(\frac{\pi}{2} , 0\right)$

In the inserted graph, look for $x \in \left(3.14 , 0\right)$, for one cycle..

graph{cotx [-5, 5, -2.5, 2.5]}