1. Graphs of Sine and Cosine
Objective: Students will be able to graph basic sine and cosine waves with transformations.

2. Sine Wave
Remember you graph using the values from the unit circle Change the window on your calculator to adjust to radians or degrees

3. Exploration 1

4. Exploration 1

5. Cosine Wave

6. Basic Functions and Their Transformations
When a is 1 you have a basic curve

7. The reciprocal of the function, number of cycles the wave completes in a unit interval, how long does it take to do the normal pattern of the graph
Phase Shift – moving a graph left right up or down
Where would you put a number to move it left and right
The c value
Where would you put a number to move it up or down
The d value

8. Example

9. Example

10. Example
What is the:
Amplitude
Period
Frequency

11. Example

12. Example
Think of the b(x-c) as a separate ( ) from original equation

13. Example

15. End Behavior

16. Example

18. Homework
13 and 14 find amplitude, period and frequency ,50,57,58,75