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Trigonometric Functions and Quadrantal Angles
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Easy
Standards-aligned
Sir Dubz
Used 4+ times
FREE Resource
10 Slides • 5 Questions
1
Trigonometric Functions and The Unit Circle
Standard: Alg2.M.F.TF.A.02
The highly proficient student can understand that any point on any circle can be identified using trigonometry functions.
2
Trigonometric Functions and The Unit Circle
Today’s Objectives:
1. Define what is a Unit Circle.
2. Define the 6 Trig Ratios using x, y and r.
3. Solve the six Trigonometric Functions of
Quadrantal Angles.
3
Open Ended
List 3 things you know about circles. It may include its definition, parts and equation.
4
5
The Unit Circle
6
Dropdown
A unit circle is
7
What makes a unit circle, a unit circle?
IA unit circle is a
circle centered at the
origin
with a radius of 1
unit.
8
Redefining the Six Trigonometric Functions
Using x, y and r on the Unit Circle
Interactive Notes
9
Evaluating the Six Trigonometric Functions Of
Quadrantal Angles
Example 1: Evaluate sin, cos, tan, csc, sec and
cot 900.
10
Evaluating the Six Trigonometric Functions Of
Quadrantal Angles
Example 1: Evaluate sin, cos, tan, csc, sec and
cot 900.
11
12
Match
Match the following
sin 180o
sec 180o
cos 360o
tan -90o
0
-1
1
undefined
0
-1
1
undefined
13
Reflect on our objectives today, which of these
objectives do you fully understand? Which of the
objectives need clarification?
Today’s Objectives:
1. Define what is a Unit Circle.
2. Define the 6 Trig Ratios using x, y and r.
3. Solve the six Trigonometric Functions of
Quadrantal Angles.
14
Poll
Which objectives do you fully understand?
Define what is a Unit Circle.
Define the 6 Trig Ratios using x, y and r.
Solve the six Trigonometric Functions of Quadrantal Angles
15
Poll
Which objectives do you need clarification?
Define what is a Unit Circle.
Define the 6 Trig Ratios using x, y and r.
Solve the six Trigonometric Functions of Quadrantal Angles
None
Trigonometric Functions and The Unit Circle
Standard: Alg2.M.F.TF.A.02
The highly proficient student can understand that any point on any circle can be identified using trigonometry functions.
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