Is the sentence true or false?

The graph of the function $2+\csc\left(x\right)$ is symmetric about the y-axis.

Complete:

The graph of $\csc\left(x\right)$ is symmetric about the __________.

Is the sentence true or false?

The extended $\csc$ graph has a translation symmetry by 2π.

Is the sentence true or false? 

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

Is the sentence true or false?

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

Complete:

The graph of $\csc\left(x\right)$ is not symmetric about the __________.

Is the sentence true or false?

The extended $\csc$ graph has reflection symmetry about any multiple of π.

Is the sentence true or false?

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

Is the sentence true or false?

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

Is the sentence true or false?

The cosecant graph has no x-intercepts.