Is the sentence true or false?

The extended sine graph has a translation symmetry by 2π.

Complete:

The graph of sin(x) is symmetric about the ________.

Is the sentence true or false? 

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

Is the sentence true or false?

The graph of cos(x) is symmetric about the origin.

Is the sentence true or false?

The extended sine graph has reflection symmetry about any odd multiple of $\pi$.

Is the sentence true or false?

The graph of the function cos(x) is symmetric about the y-axis.

Is the sentence true or false?

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

Complete:

The graph of cos(x) is symmetric about the ________.

Is the sentence true or false?

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

Is the sentence true or false?

Between 0 and $\pi$, the graph of $y=\sinθ$ is symmetric about $θ=\frac{\pi}{2}$.