Автор: | Mary Jane Sterling |
Издательство: | John Wiley & Sons Limited |
Серия: | |
Жанр произведения: | Математика |
Год издания: | 0 |
isbn: | 9781119883647 |
Trig Functions by Using Other Functions and Terminal Side Positions
Using the Arc Length Formula
Evaluating Inverse Functions
Solving Trig Equations for x in Degrees
Calculating Trig Equations for x in Radians
Chapter 8: Graphing Trig Functions
The Problems You’ll Work On
What to Watch Out For
Recognizing Basic Trig Graphs
Graphing Sine and Cosine
Applying Function Transformations to Graphs of Trig Functions
Writing New Trig Functions Using Transformations
Graphing Tangent and Cotangent
Interpreting Transformations of Trig Functions
Graphing Secant and Cosecant
Interpreting Transformations from Function Rules
Chapter 9: Getting Started with Trig Identities
The Problems You’ll Work On
What to Watch Out For
Proving Basic Trig Identities
Returning to Basic Sine and Cosine to Solve Identities
Using Multiplication by a Conjugate to Solve Identities
Solving Identities After Raising a Binomial to a Power
Solving Identities After Factoring out a Common Function
Solving Identities After Combining Fractions
Performing Algebraic Processes to Make Identities More Solvable
Chapter 10: Continuing with Trig Identities
The Problems You’ll Work On
What to Watch Out For
Using Identities That Add or Subtract Angle Measures
Confirming Double-Angle Identities
Using Identities That Double the Size of the Angle
Confirming the Statements of Multiple-Angle Identities
Creating Half-Angle Identities from Double-Angle Identities
Creating a Half-Angle Identity for Tangent
Using Half-Angle Identities to Simplify Expressions
Creating Products of Trig Functions from Sums and Differences
Using Product-to-Sum Identities to Evaluate Expressions
Using Sum-to-Product Identities to Evaluate Expressions
Applying Power-Reducing Identities
Using Identities to Determine Values of Functions at Various Angles
Working through Identities Using Multiple Methods
Chapter 11: Working with Triangles and Trigonometry
The Problems You’ll Work On
What to Watch Out For
Applying the Law of Sines to Find Sides
Utilizing the Law of Sines to Find Angles
Using the Law of Sines for Practical Applications
Investigating the Ambiguous Case of the Law of Sines
Determining All Angles and Sides of a Triangle
Finding Side Measures by Using the Law of Cosines
Using the Law of Cosines to Determine an Angle
Applying the Law of Cosines to Real-World Situations
Finding Areas of Triangles by Using the Sine
Applying the Trig Formula for Area of a Triangle
Using the Trig Formula for Area in Various Situations
Solving Area Problems Needing Additional Computations
Finding Areas of Triangles by Using Heron’s Formula
Applying Heron’s Formula
Practical Applications Using Heron’s Formula
Tackling Practical Applications by Using Triangular Formulas
Chapter 12: Complex Numbers and Polar Coordinates
The Problems You’ll Work On
What to Watch Out For
Writing Powers of i in Their Simplest Form
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Using Multiplication to Divide Complex Numbers
Solving Quadratic Equations with Complex Solutions
Graphing Complex Numbers
Identifying