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Sine / Cosine Graph (Amplitude, Period, Phase) Calculator

Plots sine/cosine functions with amplitude, period, and phase.

Tutorial / How it works →

Info

Trigonometric functions behave like waves. General form: y = A · sin( 2π/T · (x - φ) ) + D or y = A · cos( 2π/T · (x - φ) ) + D Parameters: - A (amplitude): peak height. Larger |A| means a taller wave. - T (period): how many units it takes for the wave to complete one cycle. - φ (phase shift): shifts the graph left or right. - D (vertical shift): moves the entire graph up or down. Key facts: - sin/cos values range from -1 to +1. - Multiplying by A gives the range [-A, +A]. - Adding D shifts the whole graph vertically.

Use advanced settings for more accurate results.