1. Homework Questions

2. Unit Circle Quiz 1
You have 3 minutes!

3. Graphing sin(x) and cos(x)
Section 4.4
Graphing sin(x) and cos(x)

4. Periodic:
A function is periodic if for some real number α, f (x+ α) = f (x) for each x in the domain.
The least positive value for α for which f (x+ α) = f (x) is the period of the function.

5. Examples…

6. Graph on your calc:
y = sin(x) and determine if periodic
(ZOOM – TRIG)

7. Properties of sin(x) Period = 2π Domain: (-∞, ∞) Range: [-1, 1]
X-intercepts: nπ, where n=integer
Y-intercept: 0
Max values: y=1 where
Min values: y= -1 where

8. Example Find by looking at the graph
Just like going around the unit circle twice and then back to

9. Example
Find the values of Ө where sin Ө = 0

10. Another Example

11. Graph
y = sin x for 3π ≤ x ≤ 5π

12. Graph cos x

13. Graph cos x

14. Properties of cos(x) Period = 2π Domain: (-∞, ∞) Range: [-1, 1]
X-intercepts: , where n=integer
Y-intercept: 1
Max values: y=1 where n is even
Min values: y= -1 where n is odd

15. Determine y=sin x, y=cos x, or neither

16. Homework
Worksheet