# Circular functions

## Radians and degrees

$$1 \thinspace \operatorname{rad}={{180 \operatorname{deg}}\over \pi}$$

## Exact values

## $\sin$ and $\cos$ graphs

$$f(x)=a \sin(bx-c)+d$$
$$f(x)=a \cos(bx-c)+d$$

where
$a$ is the amplitude
$b$ is the $x$-dilation
$c$ is the $y$-shift

Period is ${2 \pi} \over b$
Domain is $\mathbb{R}$
Range is $[-b+c, b+c]$;

Graph of $\cos(x)$ starts at $(0,1)$. Graph of $\sin(x)$ starts at $(0,0)$.