Amplitude, Period, and Phase Shift Calculator for Trigonometric Functions

Calculate Amplitude, Period, and Phase Shift

Unlock the complexities of trigonometric graphs! Our free Amplitude Period Phase Shift Calculator helps you quickly determine the amplitude, period, and phase shift for any sine or cosine function, making graph visualization and analysis straightforward. Perfect for students, educators, and engineers.

Formula:

For a general trigonometric function in the form y = A sin(Bx - C) + D or y = A cos(Bx - C) + D, our calculator helps you find:

  • Amplitude: The maximum displacement from the equilibrium position. Formula: |A|
  • Period: The length of one complete cycle of the wave. Formula: 2π / |B|
  • Phase Shift: The horizontal displacement of the graph. Formula: C / B (positive value means shift to the right, negative to the left)

Enter your coefficients A, B, and C below to get started!

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