Modelling with Trigonometric Functions (AQA A-Level Mathematics): Flashcards

Periodic behaviour/phenomena

$y(t) = A \sin(Bt + C) + D$ or cosine equivalent

Amplitude (max deviation from mean position)

$T = \frac{2\pi}{B}$

$B = \frac{2\pi}{T}$

Phase shift (horizontal shift)

Vertical shift (up/down)

Starts at midline ($y=0$ at $t=0$)

Starts at maximum or minimum

$A = \frac{\text{max} - \text{min}}{2}$