Trigonometry

Description

Preface Contents 1 Right Triangle Trigonometry 1.1 Angles 1.2 Trigonometric Functions of an Acute Angle 1.3 Applications and Solving Right Triangles 1.4 Trigonometric Functions of Any Angle 1.5 Rotations and Reflections of Angles 2 General Triangles 2.1 The Law of Sines 2.2 The Law of Cosines 2.3 The Law of Tangents 2.4 The Area of a Triangle 2.5 Circumscribed and Inscribed Circles 3 Identities 3.1 Basic Trigonometric Identities 3.2 Sum and Difference Formulas 3.3 Double-Angle and Half-Angle Formulas 3.4 Other Identities 4 Radian Measure 4.1 Radians and Degrees 4.2 Arc Length 4.3 Area of a Sector 4.4 Circular Motion: Linear and Angular Speed 5 Graphing and Inverse Functions 5.1 Graphing the Trigonometric Functions 5.2 Properties of Graphs of Trigonometric Functions 5.3 Inverse Trigonometric Functions 6 Additional Topics 6.1 Solving Trigonometric Equations 6.2 Numerical Methods in Trigonometry 6.3 Complex Numbers 6.4 Polar Coordinates Appendix A: Answers and Hints to Selected Exercises Appendix B: Graphing with Gnuplot GNU Free Documentation License History Index