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Alg2 Lesson 4T.9: Inverting Trigonometric Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Monica Ramirez
Used 1+ times
FREE Resource
29 Slides • 8 Questions
1
Lesson 4T.9: Inverting
Trigonometric Functions
Obj: I can construct a representation of an inverse
trigonometric function. I can solve trigonometric
equations.
EQ: How do I solve trigonometric equations?
2
Roles:
Facilitator
Scribe
Resourcer
Includer
Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas & prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles
3
Facilitator
• Make sure that all peers are staying on task.
• Give advice or suggestions to resolve the problem.
• Be sure everyone is able to explain.
4
Scribe
• Make sure peers organize their results on their own
papers.
• Remind peers to use color, arrows, and other math tools
to communicate your mathematics, reasons, and
connections.
• Be ready to join the teacher for a huddle.
5
Resourcer
• Make sure peers are getting the materials needed.
• Make sure that all materials are put away neatly.
• Make sure that peers are logged in to the needed site.
• Help troubleshoot any technology difficulties that may
arise.
6
Includer
• Make sure that all peers are talking about their
work.
• Helps keep peers’ voice volume low.
• Encourages everyone to ask questions.
• Communicates conflicts or questions to the
teacher.
7
● Check off tasks & skills on calendar.
● Select skills to work on.
● Work on Deltamath.
Remember to work on the following too…
8
Part 1: Inverse
Trigonometric Functions
9
x is the ratio
length and θ
is the angle
10
Multiple Choice
cos⁻¹(x), 1/cos(x), arccos(x), and sec(x) mean the same thing
True
False
11
Match
Match each equivalent expression.
arccos(x)
1/cos(x)
arcsin(x)
1/sin(x)
(tan(x))⁻¹
cos⁻¹(x)
sec(x)
sin⁻¹(x)
csc(x)
cot(x)
cos⁻¹(x)
sec(x)
sin⁻¹(x)
csc(x)
cot(x)
12
In trig notation, (sin(x))⁻¹ is not the same as sin⁻¹(x). (sin(x))⁻¹ is the reciprocal (flip elements in fraction positions) 1/sin(x) or csc(x) and sin⁻¹(x) is the inverse (switch angle and side length positions) function arcsin(x)
13
14
Multiple Choice
What does "Opposite Side" mean in this triangle?
The side furthest away from the given angle.
The shorter side next to the given angle.
The side that is reciprocal to the shortest side.
15
Multiple Choice
What does "Hypotenuse" mean in this triangle?
The side furthest away from the given angle.
The shorter side next to the given angle.
The side that is reciprocal to the shortest side.
16
Multiple Choice
What does "Adjacent" mean in this triangle?
The side furthest away from the given angle.
The shorter side next to the given angle.
The side that is reciprocal to the shortest side.
17
Match
Match the words.
Adjacent
Opposite
Hypotenuse
Next to
Inverse
Longest
Next to
Inverse
Longest
18
Part 2: Trigonometric
Identities
19
20
21
22
Drag and Drop
sin²(θ) +
csc²(θ) -
23
24
25
26
Part 3: Solving
Trigonometric Equations
27
28
29
30
31
32
33
34
35
Poll
Do you plan on doing the optional matrices unit for extra credit?
Yes, I wanna do all the extra credit!
No.
I'll look at it and maybe do some.
36
Random Question of the Day Time
https://wheelofnames.com/4ke-epz We’ll spin
the wheel as a class and spend a minute or so
discussing our answers.
37
Lesson 4T.9: Inverting
Trigonometric Functions
Obj: I can construct a representation of an inverse
trigonometric function. I can solve trigonometric
equations.
EQ: How do I solve trigonometric equations?
Show answer
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