Graphs of Trig Functions

sin x: range [-1,1], period 2π, starts at 0. cos x: range [-1,1], period 2π, starts at 1. tan x: range (-∞,∞), period π, undefined at π/2+nπ. Period of sin(ax+b): 2π/|a|. Amplitude of a⋅sin(x): |a|. These are wave functions used in physics, engineering, music.