Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 2AYP:
A function for which f(x)=f(x) for all x in the domain of f is called a(n) _____ function. (pp....Problem 3AYP:
True or False The function f(x)= x is even. (pp.81-83)Problem 5CV:
The sine, cosine, cosecant, and secant functions have period _____ ; the tangent and cotangent...Problem 6CV:
The domain of the tangent function is _____ .Problem 7CV:
Which of the following is not in the range of the sine function? a. 4 b. 3 2 c. 0.37 d. 1Problem 9CV:
sin 2 + cos 2 = _____ .Problem 10CV:
True or False sec= 1 sinProblem 11SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 12SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 13SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 14SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 15SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 16SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 17SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 18SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 19SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 20SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 21SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 22SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 23SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 24SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 25SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 26SB:
ln Problems 11-26, use the fact that the trigonometric functions are periodic to find the exact...Problem 35SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 36SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 37SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 38SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 39SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 40SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 41SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 42SB:
In problems 35-42, sin and cos are given. Find the exact value of the four remaining trigonometric...Problem 43SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=...Problem 44SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=...Problem 45SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=...Problem 46SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=...Problem 47SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=...Problem 48SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=...Problem 49SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=...Problem 50SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=...Problem 51SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sin=...Problem 52SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cos=...Problem 53SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2...Problem 54SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . csc=3...Problem 55SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan=...Problem 56SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . cot=...Problem 57SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . tan=...Problem 58SB:
In Problems 43-58, find the exact value of each of the remaining trigonometric functions of . sec=2...Problem 59SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 60SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 61SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 62SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 63SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 64SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 65SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 66SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 67SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 68SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 69SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 70SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 71SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 72SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 73SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 74SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 75SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 76SB:
In Problems 59-76, use the even-odd properties to find the exact value of each expression. Do not...Problem 77SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 78SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 79SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 80SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 81SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 82SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 83SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 84SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 85SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 86SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 87SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 88SB:
In Problems 77-88, use properties of the trigonometric functions to find the exact value of each...Problem 89SB:
If sin=0.3 , find the value of: sin+sin( +2 )+sin( +4 )Problem 90SB:
If cos=0.2 , find the value of: cos+cos( +2 )+cos( +4 )Problem 91SB:
If tan=3 , find the value of: tan+tan( + )+tan( +2 )Problem 92SB:
If cot=2 , find the value of: cot+cot( - )+cot( -2 )Problem 95SB:
What is the domain of the sine function?Problem 96SB:
What is the domain of the cosine function?Problem 97SB:
For what numbers is f( )=tan not defined?Problem 98SB:
For what numbers is f( )=cot not defined?Problem 99SB:
For what numbers is f( )=sec not defined?Problem 100SB:
For what numbers is f( )=csc not defined?Problem 101SB:
What is the range of the sine function?Problem 102SB:
What is the range of the cosine function?Problem 103SB:
What is the range of the tangent function?Problem 104SB:
What is the range of the cotangent function?Problem 105SB:
What is the range of the secant function?Problem 106SB:
What is the range of the cosecant function?Problem 107SB:
Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?Problem 108SB:
Is the cosine function even, odd, or neither? Is its graph symmetric? With respect to what?Problem 109SB:
Is the tangent function even, odd, or neither? Is its graph symmetric? With respect to what?Problem 113AE:
In Problems 113-118, use the periodic and even-odd properties. If f( )=sin and f( a )= 1 3 , find...Problem 114AE:
In Problems 113-118, use the periodic and even-odd properties. If f( )=cos and f( a )= 1 4 , find...Problem 115AE:
In Problems 113-118, use the periodic and even-odd properties. If f( )=tan and f( a )=2 , find the...Problem 116AE:
In Problems 113-118, use the periodic and even-odd properties. If f( )=cot and f( a )=3 , find the...Problem 117AE:
In Problems 113-118, use the periodic and even-odd properties. If f( )=sec and f( a )=4 , find the...Problem 118AE:
In Problems 113-118, use the periodic and even-odd properties. If f( )=csc and f( a )=2 , find the...Problem 119AE:
Calculating the Time of a Trip From a parking lot, you want to walk to a house on the beach. The...Problem 120AE:
Calculating the Time of a Trip Two oceanfront homes are located 8 miles apart on a straight stretch...Problem 123AE:
Show that the period of f( )=sin is 2 . [Hint: Assume that 0p2 exists so that sin( +p )=sin for all...Problem 124AE:
show that the period of f( )=cos is 2 .Problem 125AE:
show that the period of f( )=sec is 2 .Problem 126AE:
show that the period of f( )=csc is 2 .Problem 127AE:
show that the period of f( )=tan is .Problem 128AE:
show that the period of f( )=cot is .Problem 129AE:
Prove the reciprocal identities given in formula (2).Problem 130AE:
Prove the quotient identities given in formula (3).Problem 131AE:
Establish the identity: (sincos) 2 + (sinsin) 2 + cos 2 =1Problem 137RYK:
Problems 137-140 are based on material learned earlier in the course. The purpose of these problems...Problem 138RYK:
Problems 137-140 are based on material learned earlier in the course. The purpose of these problems...Browse All Chapters of This Textbook
Chapter 1.1 - The Distance And Midpoint Formulas; Graphing Utilities; Introduction To Graphing EquationsChapter 1.2 - Intercepts; Symmetry; Graphing Key EquationsChapter 1.3 - Solving Equations Using A Graphing UtilityChapter 1.4 - LinesChapter 1.5 - CirclesChapter 1.R - ReviewChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions;piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 2.R - ReviewChapter 2.CR - Cumulative ReviewChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 3.R - Chapter ReviewChapter 3.CT - Chapter TestChapter 3.CR - Cumulative ReviewChapter 4.1 - Polynomial Functions And ModelsChapter 4.2 - The Real Zeros Of A Polynomial FunctionChapter 4.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 4.4 - Properties Of Rational FunctionsChapter 4.5 - The Graph Of A Rational FunctionChapter 4.6 - Polynomial And Rational InequalitiesChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 5.R - ReviewChapter 6.1 - Angles And Their MeasureChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 7.R - ReviewChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 8.R - ReviewChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 10.R - ReviewChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 13.R - ReviewChapter 14.1 - Finding Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; Continuous FunctionsChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter B - The Limit Of A Sequence; Infinite Series
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