trigonometric functions on the unit circle (4.2 in book) · 2016. 1. 31. · 2 trig on the unit...

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2 Trig on the Unit Circle notes.notebook 1 January 31, 2016 Trigonometric Functions on the Unit Circle (4.2 in book)

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Page 1: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

1

January 31, 2016

Trigonometric Functions 

    on the Unit Circle (4.2 in book)

Page 2: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

2

January 31, 2016

What you already know:

Page 3: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

3

January 31, 2016

NAME Notation Value

Trig Functions on the Unit circle

Sine sin yCosine cos xTangent tan y/xCosecant csc 1/ySecant sec 1/xCotangent cot x/y

Page 4: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

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January 31, 2016

(1,0)

Page 5: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

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January 31, 2016

cos  =

sin 

tan 120

csc 360

sec 

Page 6: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

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January 31, 2016

Even/Odd functions* cos and sec are even functionscos(­x)=cos(x) sec(­x)=sec(x)

* everything else is oddsin(­x)= ­sin(x)

csc(­x)=

tan (­x)=

cot (­x)=

Page 7: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

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January 31, 2016

cos(­     )

Page 8: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

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January 31, 2016

Page 9: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

9

January 31, 2016

Page 10: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

10

January 31, 2016

Page 11: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

11

January 31, 2016

Page 12: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

12

January 31, 2016

Page 13: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

13

January 31, 2016

Page 14: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

14

January 31, 2016

Page 15: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

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January 31, 2016

Page 16: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

16

January 31, 2016

Page 17: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

17

January 31, 2016

Page 18: Trigonometric Functions on the Unit Circle (4.2 in book) · 2016. 1. 31. · 2 Trig on the Unit Circle notes.notebook 3 January 31, 2016 NAME Notation Value Trig Functions on the

2 Trig on the Unit Circle notes.notebook

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January 31, 2016