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Introduction
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Classroom Contents
How to Graph Sine and Cosine with Transformations
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- 1 Introduction
- 2 What are periodic functions?
- 3 Revisiting the unit circle
- 4 Sine and Cosine are periodic functions
- 5 Revisiting sine and cosine values from the unit circle
- 6 Revisiting the circular functions
- 7 Values for y = sin x
- 8 Values for y = cos x
- 9 Basic points on a sine graph
- 10 Graphing y = sin x over 1 period
- 11 Graphing the sine wave, y = sin x
- 12 Creating points from negative angle measures
- 13 A few facts about the sine function
- 14 Showing that sine is an odd function
- 15 Obtaining the five key x-values for sine
- 16 Graphing y = a sin x problem 1
- 17 Graphing y = a sin x problem 2
- 18 Graphing y = a sin x problem 3, reflection across x-axis
- 19 Showing the range for y = a sin x
- 20 Finding the amplitude
- 21 Finding the period
- 22 Considering a horizontal stretch or horizontal compression
- 23 Graph of f(x) = a sin bx
- 24 Graphing f(x) = 3 sin 2x
- 25 Graphing f(x) = 3 sin x/3
- 26 What is a phase shift?
- 27 Graphing y = 4 sin (2x - 2π/3)
- 28 Vertical shift
- 29 Graphing y = 4 sin (3x + 3π/4) - 1
- 30 Graphing y = cos x
- 31 Graphing y = 3 cos (3x + 2π/3) + 2
