How to Graph Sine and Cosine with Transformations

How to Graph Sine and Cosine with Transformations

Learn to sketch graphs of sine and cosine functions with various transformations in this comprehensive video lesson. Explore periodic functions, the unit circle, and circular functions before delving into graphing sine and cosine waves. Master techniques for vertical and horizontal stretches, compressions, and shifts, including phase shifts. Practice with multiple examples, from basic sine graphs to complex transformations like y = 3 cos (3x + 2π/3) + 2. Gain a thorough understanding of amplitude, period, and key x-values for trigonometric functions, enhancing your ability to analyze and graph these essential mathematical concepts.