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Chapter 4: Lesson 4.5 Graphs of Sine and Cosine Functions

Chapter 4: Lesson 4.5 Graphs of Sine and Cosine Functions. Equations of Sine and Cosine Functions. Basic Sine and Cosine Graphs. Amplitude =1 Period = 2 π Domain: {ARN} Range: [-1, 1]. y = sin x or y = 1 sin (1x - 0) + 0. Where are the maxima and minima?. Where are the zeros?.

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Chapter 4: Lesson 4.5 Graphs of Sine and Cosine Functions

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  1. Chapter 4: Lesson 4.5Graphs of Sine and Cosine Functions Equations of Sine and Cosine Functions

  2. Basic Sine and Cosine Graphs Amplitude =1 Period = 2π Domain: {ARN} Range: [-1, 1] y = sin x or y = 1 sin (1x - 0) + 0 Where are the maxima and minima? Where are the zeros?

  3. Amplitude =1 Period = 2π Domain: {ARN} Range: [-1, 1] y = cos x or y = 1 cos (1x - 0) + 0 Where are the maxima and minima? Where are the zeros?

  4. Definition of Amplitude of Sine and Cosine Curves Amplitude = (Stretch/Compress Vertically) #31 Graph 2 periods of f(x) = -2 sin x and g (x) = 4 sin x

  5. Vertical Translation of Sine and Cosine Curves Graph 2 periods of f(x) = sin x + 2 and g (x) = sin x - 3

  6. Definition of Period of Sine and Cosine Curves Period = (Horizontal Stretch/Compression) Graph 2 periods of f(x) = cos 3x and g (x) = cos 1/3x

  7. Definition of Horizontal Translation (Phase Shift) Phase Shift = Graph 2 periods of f(x) = and g (x) =

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