1. Unit 5 Day 12 Review & Quiz Day

2. # of Hours after Midnight
Warm-up Day 12
Find the amplitude, period and midline. Then, graph each Trig Function with 1 cycle in the negative direction and 1 cycle in the positive direction.
y = -4 sin(3x) b. y = cos (2x) + 1
Solve the problem. Round answer(s) to the nearest degree
2sin(x)cos(x) = sin(x)
-2cos(5x) =
The graph shown displays the
level of water at a boat dock, which varies due to the tides.
Determine the amplitude,
midline, and period of the graph.
Depth of Water
# of Hours after Midnight

3. Warm-up Answers Amp = 4, period = 120°, midline: y = 0
Find the amplitude, period and midline. Then, graph each Trig Function with 1 cycle in the negative direction and 1 cycle in the positive direction.
y = -4 sin(3x)
b. y = cos (2x) + 1
Solve the problem. Round answer(s) to the nearest degree
2sin(x)cos(x) = sin(x)
-2cos(5x) =
Amp = 4, period = 120°,
midline: y = 0
Amp = 1, period = 180°,
midline: y = 1
0°, 135°
30°

4. # of Hours after Midnight
Warm-up Answers
3. The graph shown displays the
level of water at a boat dock, which varies due to the tides.
Determine the amplitude,
midline, and period of the graph.
Depth of Water
(ft)
Amplitude = 4 feet
= max – min =
midline: y = 9
y = max + min = 13 – 5 OR y = min + amp
y = 5 + 4
period = 12 hours
(do end x-value – start x-value of 1 cycle)
# of Hours after Midnight

5. Homework Answers
5) B = 117°, c = 5.3, a = ) A = 46°, B = 60°, C = 74°
7) No Solution (No triangle is possible because side b is too short)
8) a = 40.5, B = 52°, C = 75°

6. Homework Answers 9) Amp = 4, Period = 12˚, Midline: y = 9
10) 22.7 feet 11) feet
12) Isosceles acute triangle 13) Scalene obtuse triangle
14) Equilateral equiangular ∆ 15) Scalene right triangle
16) Isosceles obtuse triangle ) Equilateral equiangular ∆
18) Isosceles obtuse triangle ) Equilateral equiangular ∆
20) Scalene right triangle

7. Interpreting Graphs of Trig Functions
I. Amplitude and Midline
The amplitude can be found by using the following formula:
b. The midline can be found using the following formula:
amp = | a | = | max – min | 2
Midline is y = (Max + Min) OR y = Min + Amp 2

8. Review
c. Find the amplitude and midline for each of the following graphs: 2. 1.
Midline: y = 5
Amplitude: ¼
Midline: y = 0
Amplitude: 7

9. Review 3. 4.
Midline: y = 4
Amplitude: ½
Midline: y = 0
Amplitude: ½

10. Quiz Time!!
Good Luck!
This quiz is a bit longer. We should allow around 1 hour for the quiz.

11. Homework
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