Sumário
- 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
Index
Index
A
AAS (angle-angle-side)
10.1 Non-right Triangles: Law of Sines
absolute maximum
3.3 Rates of Change and Behavior of Graphs
absolute minimum
3.3 Rates of Change and Behavior of Graphs
absolute value function
3.2 Domain and Range
absolute value inequality
2.7 Linear Inequalities and Absolute Value Inequalities,
2.7 Linear Inequalities and Absolute Value Inequalities
addition method
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables
Addition Principle
13.5 Counting Principles
addition property
2.7 Linear Inequalities and Absolute Value Inequalities
adjacent side
7.2 Right Triangle Trigonometry
algebraic expression
1.1 Real Numbers: Algebra Essentials
ambiguous case
10.1 Non-right Triangles: Law of Sines
angle
7.1 Angles
angle of depression
7.2 Right Triangle Trigonometry
angle of rotation
12.4 Rotation of Axes
annual interest
13.4 Series and Their Notations
annual percentage rate (APR)
6.1 Exponential Functions
annuity
13.4 Series and Their Notations
arc
7.1 Angles
arccosine
8.3 Inverse Trigonometric Functions
Archimedes’ spiral
10.4 Polar Coordinates: Graphs
arctangent
8.3 Inverse Trigonometric Functions
area of a circle
5.2 Power Functions and Polynomial Functions
area of a sector
7.1 Angles
argument
10.5 Polar Form of Complex Numbers
arithmetic sequence
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.4 Series and Their Notations
arithmetic series
13.4 Series and Their Notations
arrow notation
5.6 Rational Functions
associative property of addition
1.1 Real Numbers: Algebra Essentials
associative property of multiplication
1.1 Real Numbers: Algebra Essentials
asymptotes
12.2 The Hyperbola
augmented matrix
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.7 Solving Systems with Inverses
average rate of change
3.3 Rates of Change and Behavior of Graphs
axes of symmetry
12.2 The Hyperbola
axis of symmetry
5.1 Quadratic Functions,
5.1 Quadratic Functions,
12.3 The Parabola,
12.3 The Parabola
B
binomial coefficient
13.6 Binomial Theorem
Binomial Theorem
13.6 Binomial Theorem
break-even point
11.1 Systems of Linear Equations: Two Variables
C
cardioid
10.4 Polar Coordinates: Graphs
carrying capacity
6.7 Exponential and Logarithmic Models
Cartesian coordinate system
2.1 The Rectangular Coordinate Systems and Graphs
Cartesian equation
10.3 Polar Coordinates
Celsius
3.7 Inverse Functions
center of a hyperbola
12.2 The Hyperbola
center of an ellipse
12.1 The Ellipse
central rectangle
12.2 The Hyperbola
circle
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables,
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
circular motion
8.1 Graphs of the Sine and Cosine Functions
circumference
7.1 Angles
co-vertex
12.1 The Ellipse
co-vertices
12.1 The Ellipse
coefficient
1.4 Polynomials,
1.4 Polynomials,
5.2 Power Functions and Polynomial Functions,
5.5 Zeros of Polynomial Functions
coefficient matrix
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses
cofunction
9.2 Sum and Difference Identities
column matrix
11.5 Matrices and Matrix Operations
combining functions
3.4 Composition of Functions
common base
6.6 Exponential and Logarithmic Equations
common logarithm
6.3 Logarithmic Functions
commutative
3.4 Composition of Functions
commutative property of addition
1.1 Real Numbers: Algebra Essentials
commutative property of multiplication
1.1 Real Numbers: Algebra Essentials
complement of an event
13.7 Probability
complex conjugate
2.4 Complex Numbers
Complex Conjugate Theorem
5.5 Zeros of Polynomial Functions
composite function
3.4 Composition of Functions
composition of functions
3.4 Composition of Functions
compound inequality
2.7 Linear Inequalities and Absolute Value Inequalities
compound interest
6.1 Exponential Functions
compression
4.1 Linear Functions,
6.2 Graphs of Exponential Functions,
6.4 Graphs of Logarithmic Functions
conditional equation
2.2 Linear Equations in One Variable
conic section
12.4 Rotation of Axes
conic sections
10.6 Parametric Equations
conjugate axis
12.2 The Hyperbola
consistent system
11.1 Systems of Linear Equations: Two Variables
constant
1.1 Real Numbers: Algebra Essentials
constant function
3.2 Domain and Range
continuous
5.3 Graphs of Polynomial Functions
continuous function
5.2 Power Functions and Polynomial Functions
convex limaçons
10.4 Polar Coordinates: Graphs
coordinate plane
12.3 The Parabola
correlation coefficient
4.3 Fitting Linear Models to Data
cosecant function
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
cosine
9.4 Sum-to-Product and Product-to-Sum Formulas,
9.4 Sum-to-Product and Product-to-Sum Formulas
cosine function
7.3 Unit Circle,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions
cotangent function
8.2 Graphs of the Other Trigonometric Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
Cramer’s Rule
11.8 Solving Systems with Cramer's Rule,
11.8 Solving Systems with Cramer's Rule,
11.8 Solving Systems with Cramer's Rule,
11.8 Solving Systems with Cramer's Rule
cubic functions
5.7 Inverses and Radical Functions
curvilinear path
10.6 Parametric Equations
D
De Moivre
10.5 Polar Form of Complex Numbers
decompose a composite function
3.4 Composition of Functions
decomposition
11.4 Partial Fractions
decreasing linear function
4.1 Linear Functions
degenerate conic sections
12.4 Rotation of Axes
dependent system
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables,
11.2 Systems of Linear Equations: Three Variables
dependent variable
3.1 Functions and Function Notation
Descartes
10.5 Polar Form of Complex Numbers
Descartes’ Rule of Signs
5.5 Zeros of Polynomial Functions
determinant
11.8 Solving Systems with Cramer's Rule,
11.8 Solving Systems with Cramer's Rule,
11.8 Solving Systems with Cramer's Rule
difference of squares
1.4 Polynomials
dimpled limaçons
10.4 Polar Coordinates: Graphs
directrix
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates
displacement
7.1 Angles
distance formula
2.1 The Rectangular Coordinate Systems and Graphs,
9.2 Sum and Difference Identities,
12.2 The Hyperbola,
12.3 The Parabola
distributive property
1.1 Real Numbers: Algebra Essentials
diverges
13.4 Series and Their Notations
dividend
5.4 Dividing Polynomials
divisor
5.4 Dividing Polynomials
domain
3.1 Functions and Function Notation,
3.1 Functions and Function Notation,
3.2 Domain and Range,
3.2 Domain and Range,
3.2 Domain and Range,
3.2 Domain and Range,
8.3 Inverse Trigonometric Functions,
8.3 Inverse Trigonometric Functions
domain of a composite function
3.4 Composition of Functions
dot product
10.8 Vectors
double-angle formulas
9.3 Double-Angle, Half-Angle, and Reduction Formulas,
9.3 Double-Angle, Half-Angle, and Reduction Formulas
doubling time
6.7 Exponential and Logarithmic Models
E
electrostatic force
3.3 Rates of Change and Behavior of Graphs
ellipse
10.7 Parametric Equations: Graphs,
10.7 Parametric Equations: Graphs,
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables,
12.1 The Ellipse,
12.1 The Ellipse,
12.1 The Ellipse,
12.1 The Ellipse,
12.1 The Ellipse,
12.3 The Parabola,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates
ellipsis
13.1 Sequences and Their Notations
equation in quadratic form
2.6 Other Types of Equations
equation in two variables
2.1 The Rectangular Coordinate Systems and Graphs
even function
3.5 Transformation of Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
even-odd identities
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
event
13.7 Probability
experiment
13.7 Probability
explicit formula
13.1 Sequences and Their Notations,
13.1 Sequences and Their Notations,
13.1 Sequences and Their Notations,
13.2 Arithmetic Sequences,
13.3 Geometric Sequences
exponent
1.1 Real Numbers: Algebra Essentials
Exponential decay
6.1 Exponential Functions,
6.1 Exponential Functions,
6.2 Graphs of Exponential Functions,
6.7 Exponential and Logarithmic Models,
6.7 Exponential and Logarithmic Models,
6.7 Exponential and Logarithmic Models,
6.8 Fitting Exponential Models to Data
exponential equation
6.6 Exponential and Logarithmic Equations
exponential function
6.1 Exponential Functions
exponential growth
6.1 Exponential Functions,
6.1 Exponential Functions,
6.2 Graphs of Exponential Functions,
6.7 Exponential and Logarithmic Models,
6.7 Exponential and Logarithmic Models,
6.7 Exponential and Logarithmic Models
exponential notation
1.1 Real Numbers: Algebra Essentials
extraneous solution
6.6 Exponential and Logarithmic Equations
extraneous solutions
2.6 Other Types of Equations
extrapolation
4.3 Fitting Linear Models to Data
F
factor by grouping
1.5 Factoring Polynomials
Factor Theorem
5.5 Zeros of Polynomial Functions
factorial
13.1 Sequences and Their Notations
factoring
2.5 Quadratic Equations
Fahrenheit
3.7 Inverse Functions
finite arithmetic sequence
13.2 Arithmetic Sequences
finite sequence
13.1 Sequences and Their Notations
focus
12.1 The Ellipse,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates
FOIL
1.4 Polynomials
function notation
3.1 Functions and Function Notation
Fundamental Counting Principle
13.5 Counting Principles
G
Gauss
10.5 Polar Form of Complex Numbers,
11.2 Systems of Linear Equations: Three Variables,
11.6 Solving Systems with Gaussian Elimination
Gaussian elimination
11.2 Systems of Linear Equations: Three Variables,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination
general form
5.1 Quadratic Functions
general form of a quadratic function
5.1 Quadratic Functions
Generalized Pythagorean Theorem
10.2 Non-right Triangles: Law of Cosines
geometric series
13.4 Series and Their Notations
graph in two variables
2.1 The Rectangular Coordinate Systems and Graphs
greatest common factor
1.5 Factoring Polynomials,
1.5 Factoring Polynomials,
2.5 Quadratic Equations
H
half-angle formulas
9.3 Double-Angle, Half-Angle, and Reduction Formulas,
9.3 Double-Angle, Half-Angle, and Reduction Formulas
Heaviside method
11.4 Partial Fractions
Heron of Alexandria
10.2 Non-right Triangles: Law of Cosines
Heron’s formula
10.2 Non-right Triangles: Law of Cosines
horizontal line test
3.1 Functions and Function Notation
horizontal reflection
3.5 Transformation of Functions
horizontal shift
3.5 Transformation of Functions,
6.2 Graphs of Exponential Functions,
6.4 Graphs of Logarithmic Functions,
8.1 Graphs of the Sine and Cosine Functions
horizontal stretch
3.5 Transformation of Functions
hyperbola
12.2 The Hyperbola,
12.2 The Hyperbola,
12.2 The Hyperbola,
12.2 The Hyperbola,
12.2 The Hyperbola,
12.2 The Hyperbola,
12.2 The Hyperbola,
12.2 The Hyperbola,
12.3 The Parabola,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates
hypotenuse
7.2 Right Triangle Trigonometry
I
identities
7.4 The Other Trigonometric Functions
identity equation
2.2 Linear Equations in One Variable
identity matrix
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses
identity property of addition
1.1 Real Numbers: Algebra Essentials
identity property of multiplication
1.1 Real Numbers: Algebra Essentials
imaginary number
2.4 Complex Numbers
inconsistent equation
2.2 Linear Equations in One Variable
inconsistent system
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables,
11.2 Systems of Linear Equations: Three Variables
increasing linear function
4.1 Linear Functions
independent system
11.1 Systems of Linear Equations: Two Variables
independent variable
3.1 Functions and Function Notation
index of summation
13.4 Series and Their Notations
infinite geometric sequence
13.4 Series and Their Notations
infinite sequence
13.1 Sequences and Their Notations
infinite series
13.4 Series and Their Notations
initial side
7.1 Angles
inner-loop limaçons
10.4 Polar Coordinates: Graphs
interpolation
4.3 Fitting Linear Models to Data
intersection
13.7 Probability
interval notation
2.7 Linear Inequalities and Absolute Value Inequalities,
3.2 Domain and Range,
3.3 Rates of Change and Behavior of Graphs
inverse cosine function
8.3 Inverse Trigonometric Functions
inverse of a radical function
5.7 Inverses and Radical Functions
inverse of a rational function
5.7 Inverses and Radical Functions
inverse property of addition
1.1 Real Numbers: Algebra Essentials
inverse property of multiplication
1.1 Real Numbers: Algebra Essentials
inverse sine function
8.3 Inverse Trigonometric Functions
inverse tangent function
8.3 Inverse Trigonometric Functions
inverse trigonometric functions
8.3 Inverse Trigonometric Functions,
8.3 Inverse Trigonometric Functions,
8.3 Inverse Trigonometric Functions,
8.3 Inverse Trigonometric Functions
inverse variation
5.8 Modeling Using Variation
inverse variations
5.8 Modeling Using Variation
inversely proportional
5.8 Modeling Using Variation
invertible functions
5.7 Inverses and Radical Functions
J
joint variation
5.8 Modeling Using Variation
K
Kronecker
10.5 Polar Form of Complex Numbers
L
least squares regression
4.3 Fitting Linear Models to Data
lemniscate
10.4 Polar Coordinates: Graphs
linear equation
2.2 Linear Equations in One Variable
linear growth
6.1 Exponential Functions
linear relationship
4.3 Fitting Linear Models to Data
linear speed
7.1 Angles
local extrema
3.3 Rates of Change and Behavior of Graphs
logarithm
6.3 Logarithmic Functions
logarithmic equation
6.6 Exponential and Logarithmic Equations
logarithmic model
6.8 Fitting Exponential Models to Data
logistic growth model
6.7 Exponential and Logarithmic Models
long division
5.4 Dividing Polynomials
lower limit of summation
13.4 Series and Their Notations
M
magnitude
3.2 Domain and Range,
3.5 Transformation of Functions,
10.5 Polar Form of Complex Numbers,
10.8 Vectors
main diagonal
11.6 Solving Systems with Gaussian Elimination
major and minor axes
12.1 The Ellipse
matrix
11.5 Matrices and Matrix Operations,
11.5 Matrices and Matrix Operations,
11.6 Solving Systems with Gaussian Elimination
matrix multiplication
11.5 Matrices and Matrix Operations,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses
matrix operations
11.5 Matrices and Matrix Operations
maximum value
5.1 Quadratic Functions
measure of an angle
7.1 Angles
midpoint formula
2.1 The Rectangular Coordinate Systems and Graphs
minimum value
5.1 Quadratic Functions
minor axis
12.1 The Ellipse
model breakdown
4.3 Fitting Linear Models to Data
monomial
1.4 Polynomials
Multiplication Principle
13.5 Counting Principles
multiplication property
2.7 Linear Inequalities and Absolute Value Inequalities
multiplicative inverse of a matrix
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses
mutually exclusive events
13.7 Probability
N
n factorial
13.1 Sequences and Their Notations
natural numbers
1.1 Real Numbers: Algebra Essentials,
1.1 Real Numbers: Algebra Essentials,
3.1 Functions and Function Notation
negative angle
7.1 Angles
Newton’s Law of Cooling
6.7 Exponential and Logarithmic Models
nominal rate
6.1 Exponential Functions
non-right triangles
10.1 Non-right Triangles: Law of Sines
nondegenerate conic sections
12.4 Rotation of Axes
nonlinear inequality
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
nth partial sum
13.4 Series and Their Notations
nth root of a complex number
10.5 Polar Form of Complex Numbers
O
oblique triangle
10.1 Non-right Triangles: Law of Sines
odd function
3.5 Transformation of Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
one-loop limaçon
10.4 Polar Coordinates: Graphs
one-to-one
6.2 Graphs of Exponential Functions,
6.3 Logarithmic Functions,
6.5 Logarithmic Properties,
6.5 Logarithmic Properties
one-to-one function
3.1 Functions and Function Notation,
3.7 Inverse Functions,
8.3 Inverse Trigonometric Functions
opposite side
7.2 Right Triangle Trigonometry
order of magnitude
6.7 Exponential and Logarithmic Models
order of operations
1.1 Real Numbers: Algebra Essentials
ordered pair
2.1 The Rectangular Coordinate Systems and Graphs,
3.1 Functions and Function Notation,
3.2 Domain and Range
ordered triple
11.2 Systems of Linear Equations: Three Variables
outcomes
13.7 Probability
P
parabola
5.1 Quadratic Functions,
5.1 Quadratic Functions,
10.7 Parametric Equations: Graphs,
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.3 The Parabola,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates,
12.5 Conic Sections in Polar Coordinates
parallel
2.2 Linear Equations in One Variable
parallelograms
10.8 Vectors
parameter
10.6 Parametric Equations
parametric equations
10.6 Parametric Equations,
10.7 Parametric Equations: Graphs,
10.7 Parametric Equations: Graphs
parametric form
10.7 Parametric Equations: Graphs
parent function
6.4 Graphs of Logarithmic Functions
partial fraction
11.4 Partial Fractions
Pascal's Triangle
13.6 Binomial Theorem
perfect square trinomial
1.4 Polynomials
periapsis
12.5 Conic Sections in Polar Coordinates
perimeter
2.3 Models and Applications
period
7.4 The Other Trigonometric Functions,
8.1 Graphs of the Sine and Cosine Functions,
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
9.5 Solving Trigonometric Equations
periodic function
8.1 Graphs of the Sine and Cosine Functions
permutation
13.5 Counting Principles
perpendicular
2.2 Linear Equations in One Variable
phase shift
8.1 Graphs of the Sine and Cosine Functions
piecewise function
3.2 Domain and Range
piecewise functions
13.1 Sequences and Their Notations
point-slope form
4.1 Linear Functions
polar axis
10.3 Polar Coordinates
polar coordinates
10.3 Polar Coordinates,
10.3 Polar Coordinates,
10.3 Polar Coordinates,
10.4 Polar Coordinates: Graphs
polar equation
10.3 Polar Coordinates,
10.4 Polar Coordinates: Graphs,
10.4 Polar Coordinates: Graphs,
12.5 Conic Sections in Polar Coordinates
polar form
10.5 Polar Form of Complex Numbers
polar form of a complex number
10.5 Polar Form of Complex Numbers
polar form of a conic
12.5 Conic Sections in Polar Coordinates
polynomial equation
2.6 Other Types of Equations
polynomial function
5.2 Power Functions and Polynomial Functions,
5.3 Graphs of Polynomial Functions,
5.3 Graphs of Polynomial Functions,
5.3 Graphs of Polynomial Functions
positive angle
7.1 Angles
power function
5.2 Power Functions and Polynomial Functions
probability
13.7 Probability
probability model
13.7 Probability
product of two matrices
11.5 Matrices and Matrix Operations
product-to-sum formulas
9.4 Sum-to-Product and Product-to-Sum Formulas,
9.4 Sum-to-Product and Product-to-Sum Formulas
profit function
11.1 Systems of Linear Equations: Two Variables
properties of determinants
11.8 Solving Systems with Cramer's Rule
Proxima Centauri
6.7 Exponential and Logarithmic Models
Pythagoras
10.5 Polar Form of Complex Numbers
Pythagorean identities
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
Pythagorean identity
9.2 Sum and Difference Identities
Q
quadrantal angle
7.1 Angles
quadratic equation
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations,
9.5 Solving Trigonometric Equations
quadratic formula
2.5 Quadratic Equations,
2.5 Quadratic Equations,
2.5 Quadratic Equations,
9.5 Solving Trigonometric Equations
quotient
5.4 Dividing Polynomials
quotient identities
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
quotient rule for logarithms
6.5 Logarithmic Properties
R
radian measure
7.1 Angles
radical equation
2.6 Other Types of Equations
Radical expressions
1.3 Radicals and Rational Exponents
radical functions
5.7 Inverses and Radical Functions
radicand
1.3 Radicals and Rational Exponents,
1.3 Radicals and Rational Exponents,
2.6 Other Types of Equations
radiocarbon dating
6.7 Exponential and Logarithmic Models
rational equation
2.2 Linear Equations in One Variable
rational expression
1.6 Rational Expressions,
2.2 Linear Equations in One Variable,
11.4 Partial Fractions,
11.4 Partial Fractions,
11.4 Partial Fractions
rational number
2.2 Linear Equations in One Variable
ray
7.1 Angles
real number line
1.1 Real Numbers: Algebra Essentials
real numbers
1.1 Real Numbers: Algebra Essentials
reciprocal
2.2 Linear Equations in One Variable,
3.7 Inverse Functions,
5.2 Power Functions and Polynomial Functions
reciprocal function
5.6 Rational Functions
reciprocal identities
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
reciprocal identity
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions
recursive formula
13.1 Sequences and Their Notations,
13.2 Arithmetic Sequences,
13.2 Arithmetic Sequences,
13.3 Geometric Sequences
reduction formulas
9.3 Double-Angle, Half-Angle, and Reduction Formulas,
9.3 Double-Angle, Half-Angle, and Reduction Formulas
regression analysis
6.8 Fitting Exponential Models to Data,
6.8 Fitting Exponential Models to Data,
6.8 Fitting Exponential Models to Data
regression line
4.3 Fitting Linear Models to Data
relation
3.1 Functions and Function Notation
remainder
5.4 Dividing Polynomials
Remainder Theorem
5.5 Zeros of Polynomial Functions
Restricting the domain
3.7 Inverse Functions
resultant
10.8 Vectors
revenue function
11.1 Systems of Linear Equations: Two Variables
Richter Scale
6.3 Logarithmic Functions
roots
5.1 Quadratic Functions
rose curve
10.4 Polar Coordinates: Graphs
row matrix
11.5 Matrices and Matrix Operations
row operations
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses,
11.7 Solving Systems with Inverses
row-echelon form
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination
row-equivalent
11.6 Solving Systems with Gaussian Elimination
S
sample space
13.7 Probability
SAS (side-angle-side) triangle
10.2 Non-right Triangles: Law of Cosines
scatter plot
4.3 Fitting Linear Models to Data
scientific notation
1.2 Exponents and Scientific Notation,
1.2 Exponents and Scientific Notation,
1.2 Exponents and Scientific Notation
secant function
8.2 Graphs of the Other Trigonometric Functions
sector of a circle
7.1 Angles
sequence
13.1 Sequences and Their Notations,
13.1 Sequences and Their Notations,
13.2 Arithmetic Sequences
sine
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions,
9.4 Sum-to-Product and Product-to-Sum Formulas,
9.4 Sum-to-Product and Product-to-Sum Formulas
sine function
7.3 Unit Circle,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions,
8.1 Graphs of the Sine and Cosine Functions
sinusoidal function
8.1 Graphs of the Sine and Cosine Functions
smooth curve
5.2 Power Functions and Polynomial Functions
solution set
2.2 Linear Equations in One Variable,
11.2 Systems of Linear Equations: Three Variables
solving systems of linear equations
11.1 Systems of Linear Equations: Two Variables
special angles
9.2 Sum and Difference Identities
square root property
2.5 Quadratic Equations
SSA (side-side-angle)
10.1 Non-right Triangles: Law of Sines
SSS (side-side-side) triangle
10.2 Non-right Triangles: Law of Cosines
standard form
2.2 Linear Equations in One Variable
standard form of a quadratic function
5.1 Quadratic Functions
stretching/compressing factor
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions
substitution method
11.1 Systems of Linear Equations: Two Variables
sum and difference formulas for cosine
9.2 Sum and Difference Identities
sum and difference formulas for sine
9.2 Sum and Difference Identities
sum and difference formulas for tangent
9.2 Sum and Difference Identities
sum-to-product formulas
9.4 Sum-to-Product and Product-to-Sum Formulas,
9.4 Sum-to-Product and Product-to-Sum Formulas
summation notation
13.4 Series and Their Notations
surface area
5.7 Inverses and Radical Functions
symmetry test
10.4 Polar Coordinates: Graphs
system of equations
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.6 Solving Systems with Gaussian Elimination,
11.7 Solving Systems with Inverses
system of linear equations
4.2 Modeling with Linear Functions,
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables,
11.1 Systems of Linear Equations: Two Variables
system of nonlinear equations
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
system of nonlinear inequalities
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
system of three equations in three variables
11.8 Solving Systems with Cramer's Rule
T
tangent
7.4 The Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions
tangent function
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
8.2 Graphs of the Other Trigonometric Functions,
9.1 Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions
term of a polynomial function
5.2 Power Functions and Polynomial Functions
terminal side
7.1 Angles
translation
12.1 The Ellipse
transverse axis
12.2 The Hyperbola
trigonometric equations
10.6 Parametric Equations
trigonometric functions
7.4 The Other Trigonometric Functions
trigonometric identities
10.2 Non-right Triangles: Law of Cosines
trinomial
1.4 Polynomials
U
union of two events
13.7 Probability
unit circle
7.1 Angles,
7.2 Right Triangle Trigonometry,
7.3 Unit Circle,
7.3 Unit Circle,
9.5 Solving Trigonometric Equations
unit vector
10.8 Vectors
upper limit of summation
13.4 Series and Their Notations
upper triangular form
11.2 Systems of Linear Equations: Three Variables
V
variable
1.1 Real Numbers: Algebra Essentials
varies inversely
5.8 Modeling Using Variation
vector
10.8 Vectors
vector addition
10.8 Vectors
vertex
5.1 Quadratic Functions,
7.1 Angles,
12.1 The Ellipse,
12.1 The Ellipse,
12.3 The Parabola,
12.3 The Parabola
vertex form of a quadratic function
5.1 Quadratic Functions
vertical asymptote
5.6 Rational Functions,
5.6 Rational Functions,
5.6 Rational Functions,
8.3 Inverse Trigonometric Functions
vertical compression
3.5 Transformation of Functions
vertical line test
3.1 Functions and Function Notation
vertical reflection
3.5 Transformation of Functions
vertical shift
3.5 Transformation of Functions,
4.1 Linear Functions,
6.2 Graphs of Exponential Functions,
6.4 Graphs of Logarithmic Functions,
6.7 Exponential and Logarithmic Models,
8.1 Graphs of the Sine and Cosine Functions
vertical stretch
3.5 Transformation of Functions,
4.1 Linear Functions,
6.4 Graphs of Logarithmic Functions
volume
2.3 Models and Applications
volume of a sphere
5.2 Power Functions and Polynomial Functions
W
X
x-coordinate
2.1 The Rectangular Coordinate Systems and Graphs
Y
y-coordinate
2.1 The Rectangular Coordinate Systems and Graphs