10. Graphing Trigonometric Functions

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.

Determine the value of $y=-2\cdot\sin\left(-\frac{3\pi}{2}\right)+10$ without using a calculator or the unit circle.

Graph the function $y=-3\cdot\cos\left(x\right)$.

Given below is the graph of the function $y=\sin\left(bx\right)$. Determine the correct value for b.

The Period for the function $y=\cos\left(bx\right)$ is $T=20\pi$. Determine the correct value of b.