Stage 25 · Trigonometry

25.6.3 Phase φ: Shifting the Wave Left or Right

25.6 y=Asin(ωx+φ) and Simple Harmonic Motion

Point 3 of 5

25.6.3 Phase φ: Shifting the Wave Left or Right

Core idea

φ slides the whole wave sideways, deciding where it begins its rise and fall.

Module goal. We treat a sine wave's amplitude, period, and phase as adjustable dials, understand how each parameter reshapes the graph, and use it to describe real back-and-forth motions like springs and sound.
eastmath.com · 25.6 y=Asin(ωx+φ) and Simple Harmonic Motion · 25.6.3 Phase φ: Shifting the Wave Left or Right