1. Chapter 4: Lesson 4.5 Graphs 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
#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
Graph 2 periods of f(x) = cos 3x and g (x) = cos 1/3x

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