MATH 127 NOTES

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Eric Hutchinson

Mathematics Professor

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Email: eric.hutchinson@csn.edu

MATH 127 NOTES

UNIT CIRCLE HANDOUT

*CHAPTER 6 - Trigonometric Functions*
*SECTION*	*NOTES*	*VIDEO LINKS*
*6.1 - Angles, Arc Length, and Circular Motion*	6.1 Written Notes 6.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*6.2 - Trigonometric Functions: Unit Circle Approach*	6.2 Written Notes 6.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*6.3 - Properties of Trigonometric Functions*	6.3 Written Notes 6.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12 EXAMPLE 13 EXAMPLE 14
*6.4/6.6 - Graphs of Sine and Cosine Functions; Phase Shift*	6.4/6.6 Written Notes 6.4/6.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11
*6.5 - Graphs of Other Trigonometric Functions*	6.5 Written Notes 6.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11

*CHAPTER 7 - Analytic Trigonometry*
*SECTION*	*NOTES*	*VIDEO LINKS*
*7.1 - The Inverse Sine, Cosine, and Tangent Functions*	7.1 Written Notes 7.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4
*7.2 - The Inverse Trigonometric Functions (Continued)*	7.2 Written Notes 7.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*7.3 - Trigonometric Equations*	7.3 Written Notes 7.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10 EXAMPLE 11 EXAMPLE 12 EXAMPLE 13 EXAMPLE 14
*7.4 - Trigonometric Identities*	7.4 Written Notes 7.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*7.5 - Sum and Difference Identities*	7.5 Written Notes 7.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*7.6 - Double-Angle and Half-Angle Formulas*	7.6 Written Notes 7.6 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*7.7 - Product-To-Sum and Sum-To-Product Formulas*	7.7 Written Notes 7.7 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6

*CHAPTER 8 - Applications of Trigonometric Functions*
*SECTION*	*NOTES*	*VIDEO LINKS*
*8.1 - Right Triangle Trigonometry; Applications*	8.1 Written Notes 8.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9
*8.2 - The Law of Sines*	8.2 Written Notes 8.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*8.3 - The Law of Cosines*	8.3 Written Notes 8.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5

*CHAPTER 9 - Polar Coordinates; Vectors*
*SECTION*	*NOTES*	*VIDEO LINKS*
*9.1 - Polar Coordinates*	9.1 Written Notes 9.1 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10
*9.4 - Vectors*	9.4 Written Notes 9.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8 EXAMPLE 9 EXAMPLE 10
*9.5 - The Dot Product*	9.5 Written Notes 9.5 Guided Notes	EXAMPLE 1

*CHAPTER 10 - Analytic Geometry*
*SECTION*	*NOTES*	*VIDEO LINKS*
*10.2 - The Parabola*	10.2 Written Notes 10.2 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7
*10.3 - The Ellipse*	10.3 Written Notes 10.3 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*10.4 - The Hyperbola*	10.4 Written Notes 10.4 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8
*10.7 - Plane Curves and Parametric Equations*	10.7 Written Notes 10.7 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6

*CHAPTER 11 - Systems of Equations and Inequalities*
*SECTION*	*NOTES*	*VIDEO LINKS*
*11.5 - Partial Fraction Decomposition*	11.5 Written Notes 11.5 Guided Notes	EXAMPLE 1 EXAMPLE 2 EXAMPLE 3 EXAMPLE 4 EXAMPLE 5 EXAMPLE 6 EXAMPLE 7 EXAMPLE 8

Note: The above notes coincide with Sullivan Precalculus, 11th edition, by Michael Sullivan.