1. Collect test corrections!
M3U7D4 Warm Up
1. How long does it take to travel all the way around the unit circle?
2. What is the maximum sine value?
3. What is the maximum cosine value?
Also called a period
360o or 2 1 1
Collect test corrections!

2. HW Check: pp

3. U7D4 Graphing Sine and Cosine functions
OBJ: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. F-TF.5

4. Watch!

5. Watch!

6. Watch!

7. Watch!

8. Watch!

9. REMEMBER, Online Quizzes due next FRIDAY!
Watch!

10. Summary: WRITE THIS DOWN y = d + a sin (bx - c) y = d + a cos (bx - c)
a is the amplitude
period = or
is the horizontal translation
d is the vertical translation

11. When you graph, start here:
Analyze the graph of
amplitude =
period =
horizontal translation:
vertical translation:
none

12. Analyze the graph of 3 (to the left) amplitude = period =
horizontal translation:
vertical translation:
none

13. Analyze the graph of 3 amplitude = period = horizontal translation:
none
vertical translation:
Up 2

14. Graph and Analyze y = -2 + 3 cos (2x - 90°) 3 x y high 1 amplitude =
45° 3
amplitude =
90° -2
mid
period =
= 180°
135°
low -5
horizontal translation:
180° -2
mid
(to the right)
225° 1
high
vertical translation:
down 2
3) divide period by 4 to find increments
1) horiz. tells you where to start
= 45
2) add the period to find out where to finish
table goes in increments of 45
4) plot points and graph
= 225

16. REMEMBER…
You must know how to analyze the equation before you can graph it.
The most important thing to remember about graphing is determining the starting point and the stopping point on the t-table.

17. Classwork
pp. 16, 20
Homework
Finish CW