Trigonometry 5th Edition Mark Dugopolski

The desk of contents under reveals the evaluate matters (bulleted textual content) which are built-in into the MyLab Math course. The Constructed-in Consider consists of worksheets, movies, and different supplies designed to assist college students grasp these essential matters.

16. Algebraic Expressions
    • P.1 The Cartesian Coordinate System
    • P.2 Features
    • P.3 Households of Features, Transformations, and Symmetry
    • P.4 Compositions and Inverses

1. Angles and the Trigonometric Functions
   • 1.1 Angles and Diploma Measure
   • 1.2 Radian Measure, Arc Size, and Space
   • 1.3 Angular and Linear Velocity
   • 1.4 The Trigonometric Features
   • 1.5 Proper Triangle Trigonometry
   • 1.6 The Basic Identification and Reference Angles
   • Chapter 1 Constructed-in Consider Matters:
     • Multiplying easy rational expressions
     • Utilizing Rational Expressions in Conversions
     • Discovering space and circumference of a circle utilizing the usual system.
     • Simplifying sq. roots.
     • Performing operations with sq. roots.
     • Utilizing the Pythagorean theorem to seek out lacking sides of a proper triangle.
     • Discovering middle and radius of a circle given the equation for the circle.
     • Discovering the inverse of a perform.
2. Graphs of the Trigonometric Functions
   • 2.1 The Unit Circle and Graphing
   • 2.2 The Basic Sine Wave
   • 2.3 Graphs of the Secant and Cosecant Functions
   • 2.4 Graphs of the Tangent and Cotangent Functions
   • 2.5 Combining Functions
   • Chapter 2 Constructed-in Consider Matters:
     • Shifting graphs of algebraic features horizontally and vertically.
     • Discovering area and vary of algebraic features; Reflecting, stretching, and shrinking of algebraic features.
     • Writing equations of horizontal and vertical strains.
     • Performing arithmetic with fractions involving pi.
     • Discovering horizontal and vertical asymptotes for rational features.
     • Figuring out area and vary of rational features.
3. Trigonometric Identities
   • 3.1 Primary Identities
   • 3.2 Verifying Identities
   • 3.3 Sum and Distinction Identities for Cosine
   • 3.4 Sum and Distinction Identities for Sine and Tangent
   • 3.5 Double-Angle and Half-Angle Identities
   • 3.6 Product and Sum Identities
   • Chapter 3 Constructed-in Consider Matters:
     • Recognizing identities in algebra.
     • Utilizing the Basic Identification from Trigonometry to simplify expressions.
     • Utilizing reciprocal identities to simplify expressions.
     • Multiplying binomials.
     • Squaring a binomial.
     • Factoring expressions right into a product of two binomials.
     • Discovering compositions of algebraic features.
     • Proving that an equation isn’t an id.
     • Operations with rational expressions in algebra.
4. Solving Conditional Trigonometric Equations
   • 4.1 The Inverse Trigonometric Functions
   • 4.2 Primary Sine, Cosine, and Tangent Equations
   • 4.3 Equations Involving Compositions
   • 4.4 Trigonometric Equations of Quadratic Kind
   • Chapter 4 Constructed-in Consider Matters:
     • Evaluating a composition of algebraic features.
     • Figuring out identities in trigonometry.
     • Fixing proportions for a variable.
     • Fixing for a variable in an algebraic equation.
     • Fixing quadratic equations by factoring.
     • Resolve quadratic equations by utilizing the sq. root property.
     • Resolve quadratic equations by utilizing the quadratic system.
     • Squaring all sides of an equation and getting extraneous roots.
     • Area and vary of the trig functions.
     • Discovering the precise values of the sine perform.
     • Discovering the precise values of secant, cosecant, and cotangent.
5. Applications of Trigonometry
   • 5.1 The Regulation of Sines
   • 5.2 The Regulation of Cosines
   • 5.3 Space of a Triangle
   • 5.4 Vectors
   • 5.5 Purposes of Vectors
   • Chapter 5 Constructed-in Consider Matters:
     • Fixing proportions for x.
     • Fixing proportions utilizing the inverse sine perform.
     • Discovering the realm of a triangle utilizing the usual system.
     • Fixing proper triangles.
     • Discovering the gap between two factors with the gap system.
6. Advanced Numbers, Polar Coordinates, and Parametric Equations
   • 6.1 Advanced Numbers
   • 6.2 Trigonometric Type of Advanced Numbers
   • 6.3 Powers of Roots of Advanced Numbers
   • 6.4 Polar Equations
   • 6.5 Parametric Equations
   • New – 6.6 Enjoyable with Polar and Parametric Equations
   • Chapter 6 Constructed-in Consider Matters:
     • Simplifying sq. roots.
     • Including and subtracting binomials.
     • Multiplying binomials.
     • Discovering nth roots with 1/n notation.
     • Fixing cubic equations.
     • Discovering sine and cosine of huge angles.