What is the period of the function $f\left(x\right)=\sin \left(x\right)$?

Given the graphs of $y=\sin \left(x\right)$ and $y=\cos \left(x\right)$, which of the following points lies on the y-axis and is also on the line that passes through the point $(0,1)$ and is parallel to the line passing through points $(0,0)$ and $(\pi ,0)$?

For the topic of graphs of the sine and cosine functions, what is the axis of symmetry for the graph of $y=\left|x\right|$?

Sketch the function $y=\cos\left(x\right)-1$ on the graph below.

Determine the value of $y=\sin\left(-\frac{\pi}{2}\right)+50$ without using a calculator or the unit circle.