AP Precalculus Unit 3: Trigonometric and Polar Functions

If $\sin (\theta )=\frac{3}{5}$ and $\theta$ is in Quadrant II, what is $\cos (\theta )$?

Simplify $\frac{\sin (2\theta )}{\sin (\theta )}$ for $\sin (\theta )\ne 0$.

What is the graph of the polar equation $r=4$?

What is the exact value of $\cos \left(\frac{\pi }{3}\right)$?

Find all solutions to $2\sin (\theta )=1$ on the interval $[0,2\pi )$.

A Ferris wheel of radius $10$ m has its center $12$ m above the ground and completes one revolution every $30$ seconds. Starting from the bottom at $t=0$, which function models the rider's height $h(t)$ in meters?

What is the range of $g(\theta )=-2\sin (\theta )+1$?

Find all $\theta \in [0,2\pi )$ that satisfy $2{\cos }^2(\theta )-\cos (\theta )-1=0$.

The amplitude of $f(\theta )=3\sin (2\theta )$ is which of the following?

What is the period of $f(\theta )=\sin (\theta )$?

Convert the rectangular point $(x,y)=(1,\sqrt{3})$ to polar form $(r,\theta )$ with $r>0$ and $\theta \in [0,2\pi )$.

What is the period of $f(\theta )=\cos (4\theta )$?