1. Graphs of the Sine and Cosine Functions
Section 7.6
Graphs of the Sine and Cosine Functions

11. OBJECTIVE 1
OBJECTIVE 2

12. OBJECTIVE 3

14. Amplitude

17. OBJECTIVE 4

20. Graph y = 3 sin (-2x) using key points.
We have: A = -3 and w=2 after applying odd property.
Amplitude:
Period:
Domain:
Range:
Starting cycle:
Four subintervals:
Note:
5 Endpoints  x-coordinators of y = 3 sin (-2x)
(A)*(y-values of sin(x))  y-coordinators y = 3 sin (-2x)

21. Graph y = 3 sin (-2x) using key points.

22. Graph using key points. Amplitude: Period: Domain: Range:
Starting cycle:
Four subintervals:

23. Graph using key points.

24. Review: Page 262, Graph of a function

25. Graph using key points.

26. OBJECTIVE 5

27. Write the equation of a sine function that has the given characteristics.
Amplitude: Period:
Amplitude: Period:

28. (#94) The current I, in amperes, flowing through an ac (alternating current) circuit at time t in seconds is
What is the period?
What is the amplitude?

29. More Examples, please see the link: for Section 7.6 Lecture notes.pdf
for Section 7.6 Lecture notes.pdf
and the link:
for Key to Section 7.6 non-graphical solutions.pdf