Is the sentence true or false?

the graph of the function $2+\cot x$ is symmetric about the y-axis.

Complete:

The graph of $\cot x$ is symmetric about the __________.

Is the sentence true or false?

The extended $\cot x$ graph has a translation symmetry by $2\pi$.

Complete:

The graph of $\cot x$ is not symmetric about the __________.

Is the sentence true or false?

the graph of $y=\cot x$ is symmetrical about the vertical line $x=\pi$.

Is the sentence true or false?

The extended $\cot x$ graph has a rotational symmetry about any multiple of $\frac{\pi}{2}$.

Is the sentence true or false?

The graph of $\cot x$ is symmetric about the y-axis.

Is the sentence true or false?

The extended $\cot x$ graph has reflection symmetry about any multiple of $\pi$.

Is the sentence true or false?

the graph of $y=\cot x$ is symmetrical about the vertical line $y=3$.

Is the sentence true or false?

The cotangent graph has no x-intercepts.