d23224732f9b0338388abebdf823dab8cab4a7eb
   1# Circular functions
   2
   3## Radians and degrees
   4
   5$$1 \thinspace \operatorname{rad}={{180 \operatorname{deg}}\over \pi}$$
   6
   7## Exact values
   8
   9## $\sin$ and $\cos$ graphs
  10
  11$$f(x)=a \sin(bx-c)+d$$
  12$$f(x)=a \cos(bx-c)+d$$
  13
  14where
  15$a$ is the amplitude
  16$b$ is the $x$-dilation
  17$c$ is the $y$-shift
  18
  19Period is ${2 \pi} \over b$
  20Domain is $\mathbb{R}$
  21Range is $[-b+c, b+c]$;
  22
  23Graph of $\cos(x)$ starts at $(0,1)$. Graph of $\sin(x)$ starts at $(0,0)$.