0. 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.

Below is a graph of the function $y=\sec\left(bx-\pi\right)$. Determine the value of b.

Below is a graph of the function $y=\csc\left(bx\right)$. Determine the value of b.

Identify the amplitude and period of the following functions.

$f\left(\pi\right)=2\sin2\theta$

Identify the amplitude and period of the following functions.

$g\left(\theta\right)=3\cos\left(\frac{\theta}{3}\right)$

Identify the amplitude and period of the following functions.

$p\left(t\right)=2.5\sin\left(\frac12\left(t-3\right)\right)$

Identify the amplitude and period of the following functions.

$q\left(x\right)=3.6\cos\left(\frac{\pi x}{24}\right)$