Graphs of the Trigonometric Functions

Unroll the unit circle as the angle runs, and a smooth, repeating wave appears — the same shape behind sound, light, and tides. This lesson turns the unit circle into graphs. We trace the sine and cosine curves directly from a point moving around the circle, then graph the tangent function and see why it shoots off to infinity at its asymptotes. Finally we meet the controls that reshape any sinusoid — amplitude, period, and phase shift — so you can read and build transformed waves. In this lesson: The sine and cosine curves, traced from the unit circle The tangent curve and its vertical asymptotes Amplitude, period, and phase shift This is Section 5 of Trigonometry, an 11-section chapter from The READY Academy. The full chapter playlist is linked in the description. #trigonometry #sinewave #mathematics #stem 00:00 Intro 00:46 The Sine and Cosine Curves 05:24 The Tangent Curve and Its Asymptotes 08:32 Amplitude, Period, and Phase Shift