Calculus 1 — 3.4: Graphing Sine and Cosine скачать в хорошем качестве

Calculus 1 — 3.4: Graphing Sine and Cosine

Most students get phase shifts wrong because they skip one crucial step. In this video, you'll learn a foolproof two-step method to graph ANY transformed sine or cosine function—handling amplitude, period, and phase shifts without confusion. Key concepts covered: • Amplitude (|a|) controls vertical stretch; Period (2π/B) controls horizontal compression • The phase shift trap: Why you MUST factor out B before identifying horizontal shifts • Two-step graphing method: Graph amplitude and period first, then shift all key points • How negative amplitude creates reflections (cosine starting at minimum instead of maximum) • Converting y = a·sin(Bx + C) to y = a·sin[B(x + C/B)] for correct phase shift identification ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from    • Calculus 1 Lecture 0.3:  Review of Trigono...