 Chapter 6.4: Trigonometric Functions
 Chapter 1: Infinite Geometric Series
 Chapter 1.1: Real Numbers, Relations, and Functions
 Chapter 1.2: Mathematical Patterns
 Chapter 1.3: Arithmetic Sequences
 Chapter 1.4: Lines
 Chapter 1.5: Linear Models
 Chapter 1.6: Geometric Sequences
 Chapter 10.1: The Law of Cosines
 Chapter 10.2: The Law of Sines
 Chapter 10.3: The Complex Plane and Polar Form for Complex Numbers
 Chapter 10.4: DeMoivres Theorem and nth Roots of Complex Numbers
 Chapter 10.5: Vectors in the Plane
 Chapter 10.6: Applications of Vectors in the Plane
 Chapter 10.6 A: Excursion: The Dot Product
 Chapter 11.1: Ellipses
 Chapter 11.2: Analytic Geometry
 Chapter 11.3: Analytic Geometry
 Chapter 11.4: Analytic Geometry
 Chapter 11.4.A: Analytic Geometry
 Chapter 11.5: Analytic Geometry
 Chapter 11.6: Analytic Geometry
 Chapter 11.7: Analytic Geometry
 Chapter 11.7.A: Analytic Geometry
 Chapter 12.1: Systems and Matrices
 Chapter 12.2: Systems and Matrices
 Chapter 12.3: Systems and Matrices
 Chapter 12.4: Systems and Matrices
 Chapter 12.5: Systems and Matrices
 Chapter 12.5.A: Systems and Matrices
 Chapter 13.1: Basic Statistics
 Chapter 13.2: Measures of Center and Spread
 Chapter 13.3: Basic Probability
 Chapter 13.4: Determining Probabilities
 Chapter 13.4 A: Excursion: Binomial Experiments
 Chapter 13.5: Normal Distributions
 Chapter 14.1: Limits of Functions
 Chapter 14.2: Properties of Limits
 Chapter 14.2.A: Excursion: OneSided Limits
 Chapter 14.3: The Formal Definition of Limit
 Chapter 14.4: Continuity
 Chapter 14.5: Limits Involving Infinity
 Chapter 2: Maximum Area
 Chapter 2.1: Solving Equations Graphically
 Chapter 2.2: Solving Quadratic Equations Algebraically
 Chapter 2.3: Applications of Equations
 Chapter 2.4: Other Types of Equations
 Chapter 2.5: Inequalities
 Chapter 2.5.A: Excursion: AbsoluteValue Inequalities
 Chapter 3: Instantaneous Rates of Change
 Chapter 3.1: Functions
 Chapter 3.2: Graphs of Functions
 Chapter 3.3: Quadratic Functions
 Chapter 3.4: Graphs and Transformations
 Chapter 3.4.A: Excursion: Symmetry
 Chapter 3.5: Operations on Functions
 Chapter 3.5.A: Excursion: Iterations and Dynamical Systems
 Chapter 3.6: Inverse Functions
 Chapter 3.7: Rates of Change
 Chapter 4: Optimization Applications
 Chapter 4.1: Polynomial Functions
 Chapter 4.2: Real Zeros
 Chapter 4.3: Graphs of Polynomial Functions
 Chapter 4.3.A: Excursion: Polynomial Models
 Chapter 4.4: Rational Functions
 Chapter 4.5: Complex Numbers
 Chapter 4.5.A: Excursion: The Mandelbrot Set
 Chapter 4.6: The Fundamental Theorem of Algebra
 Chapter 5: Tangents to Exponential Functions
 Chapter 5.1: Radicals and Rational Exponents
 Chapter 5.2: Exponential Functions
 Chapter 5.3: Applications of Exponential Functions
 Chapter 5.4: Common and Natural Logarithmic Functions
 Chapter 5.5: Properties and Laws of Logarithms
 Chapter 5.5.A: Excursion: Logarithmic Functions to Other Bases
 Chapter 5.6: Solving Exponential and Logarithmic Equations
 Chapter 5.7: Exponential, Logarithmic, and Other Models
 Chapter 6: Optimization with Trigonometry
 Chapter 6.1: RightTriangle Trigonometry
 Chapter 6.2: Trigonometric Applications
 Chapter 6.3: Angles and Radian Measure
 Chapter 6.4: Review Exercises
 Chapter 6.5: Basic Trigonometric Identities
 Chapter 7: Approximations with Infinite Series
 Chapter 7.1: Graphs of the Sine, Cosine, and Tangent Functions
 Chapter 7.2: Graphs of the Cosecant, Secant, and Cotangent Functions
 Chapter 7.3: Periodic Graphs and Amplitude
 Chapter 7.4: Periodic Graphs and Phase Shifts
 Chapter 7.4.A: Excursion: Other Trigonometric Graphs
 Chapter 8.1: Graphical Solutions to Trigonometric Equations
 Chapter 8.2: Inverse Trigonometric Functions
 Chapter 8.3: Algebraic Solutions of Trigonometric Equations
 Chapter 8.4: Simple Harmonic Motion and Modeling
 Chapter 8.4.A: Excursion: Sound Waves
 Chapter 9.1: Identities and Proofs
 Chapter 9.2: Thomas W. Hungerford
 Chapter 9.2 A: Excursion: Lines and Angles
 Chapter 9.3: Other Identities
 Chapter 9.4: Using Trigonometric Identities
Precalculus 1st Edition  Solutions by Chapter
Full solutions for Precalculus  1st Edition
ISBN: 9780030416477
Precalculus  1st Edition  Solutions by Chapter
Get Full SolutionsSince problems from 99 chapters in Precalculus have been answered, more than 17529 students have viewed full stepbystep answer. This expansive textbook survival guide covers the following chapters: 99. This textbook survival guide was created for the textbook: Precalculus, edition: 1. The full stepbystep solution to problem in Precalculus were answered by , our top Calculus solution expert on 03/16/18, 04:19PM. Precalculus was written by and is associated to the ISBN: 9780030416477.

Arctangent function
See Inverse tangent function.

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Cosecant
The function y = csc x

Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x)  ƒ(a) x  a provided the limit exists

Equation
A statement of equality between two expressions.

Horizontal line
y = b.

Measure of spread
A measure that tells how widely distributed data are.

nset
A set of n objects.

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Positive numbers
Real numbers shown to the right of the origin on a number line.

Rectangular coordinate system
See Cartesian coordinate system.

Reflexive property of equality
a = a

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

Sum identity
An identity involving a trigonometric function of u + v

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.