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Trigonometry Chapter 1: Graphing Trigonometric Functions
Sections 1.5-1.8
Essential Questions
1. What do the sine and cosine graphs look like?
2. What transformations can be applied to the parent graphs of trig functions? Describe all.
Key Vocabulary
Sine curve
cosine curve
one cycle
period
amplitude
Transformation
reflection
scaling
frequency
horizontal translation
asymptote
inverse sine
inverse cosine harmonic motion
vertical translation
bearings
Khan Academy Sections
Graphs of sine and cosine, Inverse trig functions, Reciprocal trig functions, Shifting and reflecting functions,
Unit circle
Day
Activity
Suggested Problems
1
1.5 Basic Sine & Cosine Curves
Computer Lab Handout
P 165 1-13 Odds
2
1.5 Basic Sine & Cosine Curves
Computer Lab Handout
P 165 15-51 Odds
3
1.5 Basic Sine & Cosine Curves
P 165 53-77 Odds
4
1.6 Graphs of Other Trig Functions
P 176 1-27 Odds
5
1.6 Graphs of Other Trig Functions
P 176 27-57 odd, 63,65, 73
6
Quiz 1.5/1.6
Quiz, Finish P 176
7
1.7 Inverse Trig Functions
P 186 1-41 Odds
8
1.7 Inverse Trig Functions
P 186 43-81 Odds
9
1.8 Applications and Models
P 196 1-25 Odds
10
1.8 Applications and Models
P 197 27-37, 43, 49, 51-59 Odds
11
Quiz 1.7/1.8
Quiz, Review P 202 83-131 Odds
12
REVIEW
P 202 83-131 Odds
13
TEST 1.5-1.8
TEST
Journal Questions
1) Identify a function whose graph is identical to y ο€½
2)
3)
4)
5)
6)
7)
1
cos( 2 x) . Graph these functions.
2
What does it mean to solve an equation? Explain how you can use a graph to solve an equation.
P167 #76.
P179 #80 Explain!
P188 #94
P196 #20
P197 #34
ACT Questions
8) What is the length of a 40 degree arc of a circle with a diameter of 18?
a) πœ‹
b) 2πœ‹ c) 3πœ‹
d) 9πœ‹
e) 10πœ‹
9) If sin µ = x and sec µ = y, what is the value of tan µ?
a) xy
b) 1 / x
c) 1 / y
d)
1
π‘₯𝑦
e) Can’t be determined from information given.
Essential Question
10) What transformations can be applied to the parent graphs of trig functions? Describe all.