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) =