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| Angles and Applications | |
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| Introduction | |
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| Plane Angle | |
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| Measures of Angles | |
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| Arc Length | |
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| Lengths of Arcs on a Unit Circle | |
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| Area of a Sector | |
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| Linear and Angular Velocity | |
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| Trigonometric Functions of a General Angle | |
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| Coordinates on a Line | |
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| Coordinates in a Plane | |
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| Angles in Standard Position | |
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| Trigonometric Functions of a General Angle | |
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| Quadrant Signs of the Functions | |
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| Trigonometric Functions of Quadrantal Angles | |
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| Undefined Trigonometric Functions | |
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| Coordinates of Points on a Unit Circle | |
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| Circular Functions | |
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| Trigonometric Functions of an Acute Angle | |
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| Trigonometric Functions of an Acute Angle | |
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| Trigonometric Functions of Complementary Angles | |
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| Trigonometric Functions of 30�, 45�, and 60� | |
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| Trigonometric Function Values | |
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| Accuracy of Results Using Approximations | |
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| Selecting the Function in Problem-Solving | |
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| Angles of Depression and Elevation | |
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| Solution of Right Triangles | |
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| Introduction | |
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| Four-Place Tables of Trigonometric Functions | |
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| Tables of Values for Trigonometric Functions | |
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| Using Tables to Find an Angle Given a Function Value | |
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| Calculator Values of Trigonometric Functions | |
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| Find an Angle Given a Function Value Using a Calculator | |
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| Accuracy in Computed Results | |
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| Practical Applications | |
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| Bearing | |
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| Vectors | |
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| Vector Addition | |
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| Components of a Vector | |
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| Air Navigation | |
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| Inclined Plane | |
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| Reduction to Functions of Positive Acute Angles | |
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| Coterminal Angles | |
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| Functions of a Negative Angle | |
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| Reference Angles | |
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| Angles with a Given Function Value | |
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| Variations and Graphs of the Trigonometric Functions | |
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| Line Representations of Trigonometric Functions | |
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| Variations of Trigonometric Functions | |
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| Graphs of Trigonometric Functions | |
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| Horizontal and Vertical Shifts | |
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| Periodic Functions | |
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| Sine Curves | |
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| Basic Relationships and Identities | |
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| Basic Relationships | |
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| Simplification of Trigonometric Expressions | |
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| Trigonometric Identities | |
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| Trigonometric Functions of Two Angles | |
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| Addition Formulas | |
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| Subtraction Formulas | |
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| Double-Angle Formulas | |
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| Half-Angle Formulas | |
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| Sum, Difference, and Product Formulas | |
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| Products of Sines and Cosines | |
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| Sum and Difference of Sines and Cosines | |
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| Oblique Triangles | |
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| Oblique Triangles | |
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| Law of Sines | |
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| Law of Cosines | |
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| Solution of Oblique Triangles | |
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| Area of a Triangle | |
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| Area of a Triangle | |
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| Area Formulas | |
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| Inverses of Trigonometric Functions | |
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| Inverse Trigonometric Relations | |
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| Graphs of the Inverse Trigonometric Relations | |
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| Inverse Trigonometric Functions | |
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| Principal-Value Range | |
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| General Values of Inverse Trigonometric Relations | |
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| Trigonometric Equations | |
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| Trigonometric Equations | |
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| Solving Trigonometric Equations | |
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| Complex Numbers | |
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| Imaginary Numbers | |
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| Complex Numbers | |
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| Algebraic Operations | |
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| Graphic Representation of Complex Numbers | |
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| Graphic Representation of Addition and Subtraction | |
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| Polar or Trigonometric Form of Complex Numbers | |
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| Multiplication and Division in Polar Form | |
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| De Moivre's Theorem | |
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| Roots of Complex Numbers | |
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| Geometry | |
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| Introduction | |
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| Angles | |
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| Lines | |
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| Triangles | |
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| Polygons | |
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| Circles | |
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| Tables | |
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| Trigonometric Functions-Angle in 10-Minute Intervals | |
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| Trigonometric Functions-Angle in Tenth of Degree Intervals | |
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| Trigonometric Functions-Angle in Hundredth of Radian Intervals | |
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| Index | |