Contents
- Preface
7The Unit Circle: Sine and Cosine Functions
9Trigonometric Identities and Equations
- Introduction to Trigonometric Identities and Equations
- 9.1Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
- 9.2Sum and Difference Identities
- 9.3Double-Angle, Half-Angle, and Reduction Formulas
- 9.4Sum-to-Product and Product-to-Sum Formulas
- 9.5Solving Trigonometric Equations
11Systems of Equations and Inequalities
- AProofs, Identities, and Toolkit Functions
- Index
Key Terms
Key Terms
- amplitude
- the vertical height of a function; the constant appearing in the definition of a sinusoidal function
- arccosine
- another name for the inverse cosine;
- arcsine
- another name for the inverse sine;
- arctangent
- another name for the inverse tangent;
- inverse cosine function
- the function which is the inverse of the cosine function and the angle that has a cosine equal to a given number
- inverse sine function
- the function which is the inverse of the sine function and the angle that has a sine equal to a given number
- inverse tangent function
- the function which is the inverse of the tangent function and the angle that has a tangent equal to a given number
- midline
- the horizontal line where appears in the general form of a sinusoidal function
- periodic function
- a function that satisfies for a specific constant and any value of
- phase shift
- the horizontal displacement of the basic sine or cosine function; the constant
- sinusoidal function
- any function that can be expressed in the form or