## Solutions for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Problem 2AYU:

2. If 3 and 5 are the coordinates of two points on the real number line, the distance between these...Problem 4AYU:

4. Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths...Problem 6AYU:

6. True or False Two triangles are congruent if two angles and the included side of one equals two...Problem 7AYU:

7. If ( x,y ) are the coordinates of a point P in the xy-plane , then x is called the _____ of P and...Problem 9AYU:

9. If three distinct points P , Q and R all lie on a line and if d( P,Q )=d(Q,R) , then Q is called...Problem 12AYU:

12. True or False The midpoint of a line segment is found by averaging the x-coordinates and...Problem 13AYU:

Multiple Choice Which of the following statements is true for a point (x,y) that lies in quadrant...Problem 14AYU:

Choose the formula that gives the distance between two points (x1y1) and (x2y2). x2x12+y2y12...Problem 15AYU:

In Problems 15 and 16, plot each point in the xy-plane. Tell in which quadrant or on what coordinate...Problem 16AYU:

In Problems 15 and 16, plot each point in the xy-plane. Tell in which quadrant or on what coordinate...Problem 17AYU:

17. Plot the points ( 2,0 ),( 2,3 ),( 2,4 ),(2,1) and ( 2,1 ) . Describe the set of all points of...Problem 18AYU:

18. Plot the points ( 0,3 ),( 1,3 ),( 2,3 ),(5,3) and ( 4,3 ) . Describe the set of all points of...Problem 20AYU:

In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 36.Problem 23AYU:

In Problems 35-46, find the distance d (P1, P2) between the points P1 and P2.
39. P1 = (3, -4); P2...Problem 24AYU:

In Problems 35-46, find the distance d (P1, P2) between the points P1 and P2.
40. P1 = (-1, 0); P2...Problem 28AYU:

In Problems 35-46, find the distance d (P1, P2) between the points P1, and P2.
44. P1 = (-4, -3); ...Problem 29AYU:

In Problem 1932 find the distance d between the points P1 and P2. P1=(0.2,0.3);P2=(2.3,1.1)Problem 30AYU:

In Problem 1932 find the distance d between the points P1 and P2. P1=(1.2,2.3);P2=(0.3,1.1)Problem 31AYU:

In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 45. P 1 =( a,b...Problem 32AYU:

In Problems 35-46, find the distance d( P 1 , P 2 ) between the points P 1 and P 2 . 46. P 1 =( a,a...Problem 33AYU:

In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 34AYU:

In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 35AYU:

In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 36AYU:

In Problems 51-56, plot each point and form the triangle ABC. Verify that the triangle is a right...Problem 37AYU:

In Problems 51-56, plot each point and form the triangle ABC . Verify that the triangle is a right...Problem 38AYU:

In Problems 51-56, plot each point and form the triangle ABC. Verify that the triangle is a right...Problem 39AYU:

In Problems 57-64, find the midpoint of the line segment joining the points P 1 and P 2 . 57. P 1 =(...Problem 40AYU:

In Problems 57-64, find the midpoint of the line segment joining the points P 1 and P 2 . 58. P 1 =(...Problem 42AYU:

In Problems 3946 find the midpoint of the line segment joining the points P1 and P2....Problem 43AYU:

In problems 39-48, find the midpoint of the line segment joining the points P1 and P2. P1=(4,2);...Problem 44AYU:

In Problems 57-64, find the midpoint of the line segment joining the points P1 and P2.
...Problem 45AYU:

In problems 39-48 find the midpoint of the line segment joining the points P1 and P2....Problem 47AYU:

In Problems 57-64, find the midpoint of the line segment joining the points P1 and P2.
63. P1 = (a,...Problem 48AYU:

In Problems 57-64, find the midpoint of the line segment joining the points P1 and P2.
...Problem 50AYU:

Find all points having a y-coordinate of -3 whose distance from the point (1,2) is 13.Problem 53AYU:

101. The medians of a triangle are the line segments from each vertex to the midpoint of the...Problem 54AYU:

102. An equilateral triangle is one in which all three sides are of equal length. If two vertices of...Problem 55AYU:

55. Geometry Find the midpoint of each diagonal of a square with side of lengths. Draw the...Problem 56AYU:

56. Geometry Verify that the points and are the vertices of an equilateral triangle. Then show that...Problem 57AYU:

In Problems 103-106, find the length of each side of the triangle determined by the three points P1,...Problem 58AYU:

In Problems 103-106, find the length of each side of the triangle determined by the three points P1,...Problem 59AYU:

In Problems 103-106, find the length of each side of the triangle determined by the three points P 1...Problem 60AYU:

In Problems 103-106, find the length of each side of the triangle determined by the three points P 1...Problem 61AYU:

109. Baseball A major league baseball “diamond” is actually a square, 90 feet on a side (see the...Problem 62AYU:

110. Little league Baseball The layout of a Little League playing field is a square, 60 feet on a...Problem 63AYU:

Baseball Refer to Problem 63. Overlay a rectangular coordinate system on a major league baseball...Problem 64AYU:

Little league Baseball Refer to Problem 64. Overlay a rectangular coordinate system on a Little...Problem 65AYU:

Distance between Moving Objects A Ford Focus and a Freightliner truck leave an average speed of 30...Problem 66AYU:

114. Distance of a Moving Object from a Fixed Point A hot-air balloon, headed due east at an...Problem 67AYU:

Drafting Error When a draftsperson draws three lines that are to intersect at one point, the lines...Problem 68AYU:

Net Sales The figure illustrates how net sales of Costco Wholesale Corporation grew from through ....Problem 69AYU:

Poverty Threshold Poverty thresholds are determined by the U.S. Census Bureau. A poverty threshold...# Browse All Chapters of This Textbook

Chapter F - Foundations: A Prelude To FunctionsChapter F.1 - The Distance And Midpoint FormulasChapter F.2 - Graphs Of Equations In Two Variables; Intercepts; SymmetryChapter F.3 - LinesChapter F.4 - CirclesChapter 1 - Functions And Their GraphsChapter 1.1 - FunctionsChapter 1.2 - The Graph Of A FunctionChapter 1.3 - Properties Of FunctionsChapter 1.4 - Library Of Functions; Piecewise-defined Functions

Chapter 1.5 - Graphing Techniques: TransformationsChapter 1.6 - Mathematical Models: Building FunctionsChapter 1.7 - Building Mathematical Models Using VariationChapter 2 - Linear And Quadratic FunctionsChapter 2.1 - Properties Of Linear Functions And Linear ModelsChapter 2.2 - Building Linear Models From DataChapter 2.3 - Quadratic Functions And Their ZerosChapter 2.4 - Properties Of Quadratic FunctionsChapter 2.5 - Inequalities Involving Quadratic FunctionsChapter 2.6 - Building Quadratic Models From Verbal Descriptions And From DataChapter 2.7 - Complex Zeros Of A Quadratic FunctionChapter 2.8 - Equations And Inequalities Involving The Absolute Value FunctionChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Polynomial Functions And ModelsChapter 3.2 - The Real Zeros Of A Polynomial FunctionChapter 3.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 3.4 - Properties Of Rational FunctionsChapter 3.5 - The Graph Of A Rational FunctionChapter 3.6 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Composite FunctionsChapter 4.2 - One-to-one Functions; Inverse FunctionsChapter 4.3 - Exponential FunctionsChapter 4.4 - Logarithmic FunctionsChapter 4.5 - Properties Of LogarithmsChapter 4.6 - Logarithmic And Exponential EquationsChapter 4.7 - Financial ModelsChapter 4.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 4.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 5 - Trigonometric FunctionsChapter 5.1 - Angles And Their MeasureChapter 5.2 - Trigonometric Functions: Unit Circle ApproachChapter 5.3 - Properties Of The Trigonometric FunctionsChapter 5.4 - Graphs Of The Sine And Cosine FunctionsChapter 5.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 5.6 - Phase Shift; Sinusoidal Curve FittingChapter 6 - Analytic TrigonometryChapter 6.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 6.2 - The Inverse Trigonometric Functions (continued)Chapter 6.3 - Trigonometric EquationsChapter 6.4 - Trigonometric IdentitiesChapter 6.5 - Sum And Difference FormulasChapter 6.6 - Double-angle And Half-angle FormulasChapter 6.7 - Product-to-sum And Sum-to-product FormulasChapter 7 - Applications Of Trigonometric FunctionsChapter 7.1 - Right Triangle Trigonometry; ApplicationsChapter 7.2 - The Law Of SinesChapter 7.3 - The Law Of CosinesChapter 7.4 - Area Of A TriangleChapter 7.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 8 - Polar Coordinates; VectorsChapter 8.1 - Polar CoordinatesChapter 8.2 - Polar Equations And GraphsChapter 8.3 - The Complex Plane; De Moivre’s TheoremChapter 8.4 - VectorsChapter 8.5 - The Dot ProductChapter 8.6 - Vectors In SpaceChapter 8.7 - The Cross ProductChapter 9 - Analytic GeometryChapter 9.2 - The ParabolaChapter 9.3 - The EllipseChapter 9.4 - The HyperbolaChapter 9.5 - Rotation Of Axes; General Form Of A ConicChapter 9.6 - Polar Equations Of ConicsChapter 9.7 - Plane Curves And Parametric EquationsChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations: Substitution And EliminationChapter 10.2 - Systems Of Linear Equations: MatricesChapter 10.3 - Systems Of Linear Equations: DeterminantsChapter 10.4 - Matrix AlgebraChapter 10.5 - Partial Fraction DecompositionChapter 10.6 - Systems Of Nonlinear EquationsChapter 10.7 - Systems Of InequalitiesChapter 10.8 - Linear ProgrammingChapter 11 - Sequences; Induction; The Binomial TheoremChapter 11.1 - SequencesChapter 11.2 - Arithmetic SequencesChapter 11.3 - Geometric Sequences; Geometric SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 12 - Counting And ProbabilityChapter 12.1 - CountingChapter 12.2 - Permutations And CombinationsChapter 12.3 - ProbabilityChapter 13 - A Preview Of Calculus: The Limit, Derivative, And Integral Of A FunctionChapter 13.1 - Finding Limits Using Tables And GraphsChapter 13.2 - Algebra Techniques For Finding LimitsChapter 13.3 - One-sided Limits; Continuous FunctionsChapter 13.4 - The Tangent Problem; The DerivativeChapter 13.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Factoring PolynomialsChapter A.5 - Synthetic DivisionChapter A.6 - Rational ExpressionsChapter A.7 - Nth Roots; Rational ExponentsChapter A.8 - Solving EquationsChapter A.9 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.10 - Interval Notation; Solving InequalitiesChapter A.11 - Complex NumbersChapter B.1 - The Viewing RectangleChapter B.2 - Using A Graphing Utility To Graph EquationsChapter B.3 - Using A Graphing Utility To Locate Intercepts And Check For SymmetryChapter B.5 - Square Screens

# Sample Solutions for this Textbook

We offer sample solutions for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition) homework problems. See examples below:

Chapter F, Problem 1CPChapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REChapter 7, Problem 1REChapter 8, Problem 1RE

Chapter 9, Problem 1REGiven information: The system, {2x−y=5 5x+2y=8 Explanation: To solve the system equations by using...Chapter 11, Problem 1REGiven: The set {Dave, Joanne, Erica}. Calculation: The set {Dave, Joanne, Erica}. Subsets = ∅, {...Chapter 13, Problem 1REGiven Information: The given rational number {−3,0,2,65,π}. Explanation: Integers are the set of...

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Precalculus: Concepts Through Functions, A Unit Circle Approach To Trigonometry, A Corequisite Solution - 18-week Access Card

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