section 4.2 trigonometric functions: the unit...

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121129 4.2 Trig functions and identities.notebook 1 December 03, 2012 Section 4.2 Trigonometric Functions: The Unit Circle Question: What is a trigonometric function?

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Page 1: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

1

December 03, 2012

Section 4.2Trigonometric Functions: The 

Unit Circle

Question: What is a trigonometric function? 

Page 2: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

2

December 03, 2012

What are three trigonometric functions?

How do you define sine, cosine and tangent using a right triangle?

Page 3: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

3

December 03, 2012

Calculus and the Unit Circle

Page 4: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

The Six Trigonometric Functions

Trig functions are defined by the coordinate where the terminal side of the angle intersects the unit circle. The input of a trig function is the angle, the output is the coordinate...

How do you define the six trig functions using the unit circle?

Page 5: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Example

Page 6: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

6

December 03, 2012

Section 4.2Trigonometric Functions: Identities 

Question: Have you memorized the trigonometric identities? What do you need extra review on from 4.1 and 4.2? 

Page 7: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

7

December 03, 2012

Domain and Range of Sine and Cosine Functions

Page 8: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

8

December 03, 2012

Exact Values of Trigonometric Functions at t=

Page 9: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Example

Example

Page 10: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

10

December 03, 2012

Even and Odd Trigonometric Functions

Page 11: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Example

Page 12: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

12

December 03, 2012

Fundamental Identities

Page 13: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Example

Example

Page 14: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Example

Periodic Functions

Page 15: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Page 16: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Example

Assignment 4.2 part II.Due WednesdayQuiz: 4.1 and 4.2 Wednesday...

page 472­473#19­59 odds

Page 17: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Using a Calculator to Evaluate Trigonometric Functions

Page 18: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

Example

(a) 

(b)

(c)

(d)

Page 19: Section 4.2 Trigonometric Functions: The Unit Circleteacherwee.weebly.com/uploads/8/3/8/0/8380923/... · Assignment 4.2 part II. Due Wednesday Quiz: 4.1 and 4.2 Wednesday... page

121129 4.2 Trig functions and identities.notebook

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December 03, 2012

(a) 

(b)

(c)

(d)