Graph Sine & Cosine Functions: The 2-Step Method You Need

Описание: 📓 Interactive Notebook: https://ludium.ai/courses/calculus-1/...

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

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ORIGINAL SOURCE
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This video distills concepts from:
   • Calculus 1 Lecture 0.3:  Review of Trigono...  

Full credit to the original creator for the educational content. Please visit the original lecture for the complete in-depth explanation.

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