Graphs of sin, cos, tan (amplitude, period, phase shift)

What you'll learn

1. Sketch the base graphs of y = sin(x), y = cos(x), and y = tan(x) by plotting key points (intercepts, maxima, minima, asymptotes)
2. Identify amplitude, period, phase shift, and vertical shift from the general form y = A sin(Bx + C) + D (and analogous cos/tan forms)
3. Graph a transformed sinusoidal function by applying changes to amplitude, period, phase shift, and vertical shift systematically
4. Read a graph to determine its amplitude, period, midline, and phase shift
5. Write an equation in the form y = A sin(Bx + C) + D (or cos equivalent) that matches a given graph

Prerequisites

• Trigonometric ratios (SOH-CAH-TOA)
• Unit circle values (key angles)