From angles to functions to identities - solve trig equations with ease. Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or worse yet, not know where to begin? No fear - this hands-on-guide focuses on helping you solve the many types of trigonometry equations you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with angles, circles, triangles, graphs, functions, the laws of sines and cosines, and more! It includes 100s of Problems! Step-by-step answer sets clearly identify where you went wrong (or right) with a problem. Get the inside scoop on graphing trig functions, know where to begin and how to solve the most common equations, and use trig in practical applications with confidence.
Mary Jane Sterling has been a mathematics teacher for more than 30 years.
Introduction.Part I: Trying Out Trig: Starting at the Beginning.Chapter 1: Tackling Technical Trig.Chapter 2: Getting Acquainted with the Graph.Chapter 3: Getting the Third Degree.Chapter 4: Recognizing Radian Measure.Chapter 5: Making Things Right with Right Triangles.Part II: Trigonometric Functions.Chapter 6: Defining Trig Functions with a Right Triangle.Chapter 7: Discussing Properties of the Trig Functions.Chapter 8: Going Full Circle with the Circular Functions.Part III: Trigonometric Identities and Equations.Chapter 9: Identifying the Basic Identities.Chapter 10: Using Identities Defined with Operations.Chapter 11: Techniques for Solving Trig Identities.Chapter 12: Introducing Inverse Trig Functions.Chapter 13: Solving Trig Equations.Chapter 14: Revisiting the Triangle with New Laws.3Part IV: Graphing the Trigonometric Functions.Chapter 15: Graphing Sine and Cosine.Chapter 16: Graphing Tangent and Cotangent.Chapter 17: Graphing Cosecant, Secant, and Inverse Trig Functions.Chapter 18: Transforming Graphs of Trig Functions.Part V: The Part of Tens.Chapter 19: Ten Identities with a Negative Attitude.Chapter 20: Ten Formulas to Use in a Circle.Chapter 21: Ten Ways to Relate the Sides and Angles of Any Triangle.Appendix: Trig Functions Table.Index.