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Chapter 11: Trig Graph Review Sheet ANSWER KEY Part 1 Hints:

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Chapter 11: Trig Graph Review Sheet ANSWER KEY Part 1 Hints:
Chapter 11: Trig Graph
Review Sheet ANSWER KEY
All graphs and charts on graph paper. All other work and answers in the packet.
Part 1 Hints:
1. Identify the function, amplitude & frequency
2. period = 360/b
3. range = -a < y < a
4. Identify the function, amplitude & frequency
5. amplitude = a
6. Look at yesterday's notes
7. Undefined = error in calculator = asymptote on the graph
Part 2:
8. a) 3
b) 135o and 315o
c) Increasing from 0 to 45o, from 135 to 225o, from 315 to 360o
Decreasing from 45 to 135o and 225 to 315o
9. a) ½
b) -90o and 90o
c) Increasing from 180 to 0
Decreasing from 0 to 180
10. ***x-axis must be labeled in radians! Chart must have radians***
a) period = 180o
b) x = -90o and x = 90o
11. 2 intersections
12. ***x-axis labeled in radians!!!***
2 intersections
13. -900 to 900
14.
00 to 1800
Odd number solutions:
Part 3:
15. Amp = 2
Range
Freq = 5
Period = 72
17. Amp =
Freq = 2
Range
Period = 180
19. Amp =
Freq =
Range
Period = 720
Part 4:
21. Amplitude of 5
Shifts RIGHT 45 Phase Shift
23. Shifts RIGHT 270 Phase Shift
25. Shifts RIGHT 90 Phase Shift
Shifts UP 1 unit
Part 5:
27. 1.8
29. 1.1
31. 0.4
Part 6:
33.
35.
37.
or
or
(think about quadrants where sine is negative!)
For parts 5 and 6 make sure you know the difference between inverses and reciprocals!!!
Main Function
Inverse
In your calculator
Reciprocal
In your calculator
arc.inverse.arc.inverse.arc.inverse.arc.inverse.arc.inverse.arc.inverse.arc.inverse.arc.inverse.arc.inverse.arc.inverse.
Fly UP