Completing Tables

Graphing a reciprocal function via Table

Sin function

x or y	0	$\frac{\pi }{6}$	$\frac{\pi }{3}$	$\frac{\pi }{2}$	$\frac{2\pi }{3}$	$\frac{5\pi }{6}$	$\pi$	$\frac{7\pi }{6}$	$\frac{4\pi }{3}$	$\frac{3\pi }{2}$	$\frac{5\pi }{3}$	$\frac{11\pi }{6}$	$2\pi$
y=sinx	0	1/2	$\frac{\sqrt{3}}{2}$	1	$\frac{\sqrt{3}}{2}$	1/2	0	-1/2	$\frac{-\sqrt{3}}{2}$	-1	$\frac{-\sqrt{3}}{2}$	-1/2	0
y=cscx	undef	2	$\frac{2}{\sqrt{3}}$	1	$\frac{2}{\sqrt{3}}$	2	undef	-2	$\frac{-2}{\sqrt{3}}$	-1	$\frac{-2}{\sqrt{3}}$	-2	undef

notice how the table is intervals with unit circle, but there is no xpi/4 ratios

Cos function

x or y	0	$\frac{\pi }{6}$	$\frac{\pi }{3}$	$\frac{\pi }{2}$	$\frac{2\pi }{3}$	$\frac{5\pi }{6}$	$\pi$	$\frac{7\pi }{6}$	$\frac{4\pi }{3}$	$\frac{3\pi }{2}$	$\frac{5\pi }{3}$	$\frac{11\pi }{6}$	$2\pi$
y=cosx	1	$\frac{\sqrt{3}}{2}$	1/2	0	-1/2	$\frac{-\sqrt{3}}{2}$	-1	$\frac{-\sqrt{3}}{2}$	-1/2	0	1/2	$\frac{\sqrt{3}}{2}$	1
y=secx	1	$\frac{2}{\sqrt{3}}$	2	undef	-2	$\frac{-2}{\sqrt{3}}$	-1	$\frac{-2}{\sqrt{3}}$	-2	undef	2	$\frac{2}{\sqrt{3}}$	1

Tan function

x or y	0	$\frac{\pi }{4}$	$\frac{\pi }{2}$	$\frac{3\pi }{2}$	$\pi$	$\frac{5\pi }{4}$	$\frac{3\pi }{2}$	$\frac{7\pi }{4}$	$2\pi$
y = tanx	0	1	undef	-1	0	1	undef	-1	0
y = cotx	undef	1	0	-1	undef	1	0	-1	undef