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Sine / Cosine Graph (Amplitude, Period, Phase) – Tutorial
On this page, you can find the logic, usage, and important details of the Sine / Cosine Graph (Amplitude, Period, Phase) calculator.
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Summary
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.
Input Fields
Function
Type: select
Amplitude (A)
Type: number
Period (T)
Type: number
Phase Shift (φ)
Type: number
Advanced parameter
Vertical Shift (D)
Type: number
Advanced parameter
X Min
Type: number
Advanced parameter
X Max
Type: number
Advanced parameter