Mathematics - Trigonometry - Advanced - Graphing trigonometric functions - Trig Graph Properties

6 steps: (1) y=sinx: amplitude=1, period=2π, midline=0, range=[-1,1]. (2) y=cosx: same as sin but shifted left π/2. (3) y=tanx: period=π, vertical asymptotes at x=π/2+nπ, no bounded amplitude. (4) y=Asin(Bx+C)+D: amplitude=|A|, period=2π/|B|, phase shift=-C/B, vertical shift=D. (5) Example: y=3sin(2