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 $(0,0)$.