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Math 1022 Topics Section Number 6.1 6.2 An Introduction to Angles: Degree and Radian Measure Applications of Radian Measure (arclength and sector area) 6.3 Triangles 6.4 6.5 6.6 Right Triangle Trigonometry Trig Functions of General Angles The Unit Circle The Graphs of the Sine and Cosine Functions: Amplitude and Period More on the Graphs of the Sine and Cosine Functions: Phase Shift More on the Graphs of the Sine and Cosine Functions: Vertical Shift 7.1 7.2a 7.2b 7.3 7.4 7.5 8.1 8.2 8.3 Objectives/Examples Omitted Section Title The Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions 8.5 9.1 Inverse Trig Functions I Inverse Trig Functions II Trigonometric Identities The Sum and Difference Formulas The Double-Angle and Half-Angle Formulas Trigonometric Equations Right Triangle Applications 9.2 9.3 The Law of Sines The Law of Cosines 9.4 10.1 10.2 10.4 Area of Triangles Polar Coordinates and Polar Equations Graphing Polar Equations Vectors None Example 5 (gears) and Objective 3 Objective 5 (applications) This section is a geometry review not covered in class. None. None. Objectives 2, 4, and 5 Examples 1 and 4 Objective 6 is new in 2e; added beginning F14. In all assigned hw exercises, C is a rational # times π. In all assigned hw exercises, C is a rational # times π. Objective 4 is new in 2e; added beginning F14. All assigned problems have phase shift only. Examples 1 and 3, any examples with a vertical shift, and objective 5. Objective 5 is new in 2e, but is not covered. Renumber old objectives 5 and 6 as objectives 6 and 7. None. Example 4b and Objectives 3 and 4 Example 3b (factoring sum or difference of cubes) None Example 3 and Objective 2 Examples 4d and 5c None. (This was section 6.4b in 1e. Renumber remaining sections in Chapter 9.) Example 8 (bearings) Examples 4 and 5 (Assigned applications do not use bearings or a lot of geometry.) None None None Examples 11 and 12 and Objective 9