1. Sullivan Algebra and Trigonometry: Section 7.6
Objectives of this Section
Graph Transformations of the Sine Function
Graph Transformations of the Cosine Function
Determine the Amplitude and Period of Sinusoidal Functions
Graph Sinusoidal Functions: y = Asin(wx)
Find an Equation for a Sinusoidal Graph

2. The Graph of y = sin x y x

3. (0, 0)

4. Characteristics of the Sine Function
1. The domain is the set of all real numbers.
2. The range consists of all real numbers from -1 to 1, inclusive.
3. The sine function is an odd function (symmetric with respect to the origin).

5. Characteristics of the Sine Function

6. Begin with the basic sine function:
(0, 0)

9. The Graph of y = cos x y x

10. (0, 1)

11. Characteristics of the Cosine Function
1. The domain is the set of all real numbers.
2. The range consists of all real numbers from -1 to 1, inclusive.
3. The cosine function is an even function (symmetric with respect to the y-axis).

12. Characteristics of the Cosine Function

14. The graphs of the sine and cosine functions are called sinusoidal graphs.

16. 1 -1

17. 2 -2

18. Find an equation for the graph.4 3 2 -1 1 -4