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| Right Triangle Rations. | |
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| Angles, Degrees, and Arcs | |
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| Similar Triangles | |
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| Trigonometric Ratios and Right Triangles | |
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| Right Triangle Applications | |
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| Group Activity: A Logistics Problem | |
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| Review | |
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| Trigonometric Functions. | |
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| Degrees and Radians | |
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| Linear and Angular Velocity | |
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| Trigonometric Functions: Unit Circle Approach | |
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| Additional Applications | |
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| Exact Values and Properties of Trigonometric Functions | |
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| Group Activity: Speed of Light in Water | |
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| Review | |
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| Graphing Trigonometric Functions. | |
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| Basic Graphs | |
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| Graphing y=k+A sin Bx and y=K+A cos(Bx+C | |
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| Additional Applications | |
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| Graphing Combined Forms | |
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| Tangent, Cotangent, Secant, and Cosecant Functions Revisited | |
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| Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbits | |
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| Review | |
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| Cumulative Review Exercise, Chapters 1-3 | |
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| Identities. | |
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| Fundamental Identities and Their Use | |
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| Verifying Trigonometric Identities | |
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| Sum, Difference, and Cofunction Identities | |
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| Double-Angle and Half-Angle Identities | |
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| Product-Sum and Sum-Product Identities | |
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| Group Activity: From M sin Bt+N cos Bt to A sin(Bt+C | |
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| Review | |
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| Inverse Trigonometric Functions; Trigonometric Equations and Inequalities. | |
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| Inverse Sine, Cosine, and Tangent Functions | |
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| Inverse Cotangent, Secant, and Cosecant Functions | |
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| Trigonometric Equations: An Algebraic Approach | |
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| Trigonometric Equations and Inequalities: A Graphing Calculator Approach | |
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| Group Activity: sin 1/x=0 and Sin-1 1/x=0 | |
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| Review | |
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| Cumulative Review Exercise, Chapters 1-5 | |
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| Additional Topics: Triangles and Vectors. | |
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| Law of Sines | |
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| Law of Cosines | |
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| Areas of Triangles | |
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| Vectors: Geometrically Defined | |
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| Vectors: Algebraically Defined | |
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| The Dot Product | |
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| Group Activity: The SSA Case and the Law of Cosines | |
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| Review | |
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| Polar Coordinates; Complex Numbers. | |
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| Polar and Rectangular Coordinates | |
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| Sketching Polar Equations | |
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| The Complex Plane | |
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| De Moivre's Theorem and the nth-Root Theorem | |
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| Group Activity: Orbits of Planets | |
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| Review | |
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| Cumulative Review Exercises, Chapters 1-7 | |
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| Comments on Numbers. | |
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| Real Numbers | |
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| Complex Numbers | |
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| Significant Digits | |
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| Functions and Inverse Functions. | |
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| Functions | |
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| Graphs and Transformations | |
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| Inverse Functions | |
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| Plane Geometry: Some Useful Facts. | |
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| Lines and Angles, | |
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| Triangles, | |
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| Quadrilaterals | |
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| Circles | |
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| Selected Answers | |
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| Index | |