Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 1CV:
cos( 2 )= cos 2 =1=1Problem 2CV:
sin 2 2 = 2Problem 3CV:
tan 2 = 1cosProblem 4CV:
True or False tan( 20 )= 2tan 1 tan 2Problem 6CV:
True or False tan( 2 )+tan( 2 )=tan( 4 )Problem 7CV:
Choose the expression that completes the Half-angle Formula for cosine functions: cos 2 = _________...Problem 8CV:
If sin= 1cos 2 , then which of the following describes how the value of is related to the value of ...Problem 9SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 10SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 11SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 12SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 13SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 14SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 15SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 16SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 17SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 18SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 19SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 20SB:
In Problems 9-20, use the information given about the angle , 02 , to find the exact value of: (a)...Problem 21SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. sin 22.5Problem 22SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. cos 22.5Problem 23SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. tan 7 8Problem 24SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. tan 9 8Problem 25SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. cos 165Problem 26SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. sin 195Problem 27SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. sec 15 8Problem 28SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. csc 7 8Problem 29SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. sin( 8...Problem 30SB:
In Problems 21-30, use the Half-angle Formulas to find the exact value of each expression. cos( 3 8...Problem 31SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 32SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 33SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 34SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 35SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 36SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 37SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 38SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 39SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 40SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 41SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 42SB:
In Problems 31-42, use the figures to evaluate each function, given that f( x )=sinx , g( x )=cosx ,...Problem 43SB:
Show that sin 4 = 3 8 1 2 cos( 2 )+ 1 8 cos( 4 )Problem 44SB:
Show that sin( 4 )=( cos )( 4sin8 sin 3 ) .Problem 49SB:
cos 4 sin 4 =cos( 2 )Problem 50SB:
establish each identify. cot-tan cot+tan =cos( 2 )Problem 51SB:
establish each identify. cot( 2 )= cot 2 -1 2cotProblem 52SB:
establish each identify. cot( 2 )= 1 2 ( cot-tan )Problem 53SB:
establish each identify. sec( 2 )= sec 2 2- sec 2Problem 54SB:
establish each identify. csc( 2 )= 1 2 seccscProblem 59SB:
establish each identify. sec 2 2 = 2 1+cosProblem 60SB:
establish each identify. csc 2 2 = 2 1-cosProblem 61SB:
establish each identify. cot 2 v 2 = secv+1 secv-1Problem 62SB:
establish each identify. tan v 2 =cscv-cotvProblem 63SB:
establish each identify. cos= 1 -tan 2 2 1 +tan 2 2Problem 65SB:
establish each identify. sin( 3 ) sin cos( 3 ) cos =2Problem 67SB:
establish each identify. tan( 3 )= 3tan tan 3 13 tan 2Problem 73SB:
solve each equation on the interval 02 . cos( 2 )=cosProblem 74SB:
solve each equation on the interval 02 . sin( 2 )=cosProblem 77SB:
solve each equation on the interval 02 . 3sin=cos( 2 )Problem 79SB:
solve each equation on the interval 02 . tan( 2 )+2sin=0Problem 80SB:
solve each equation on the interval 02 . tan( 2 )+2cos=0Problem 93MP:
find the real zeros of each trigonometric function on the interval 02 . f( x )=sin( 2x )sinxProblem 94MP:
find the real zeros of each trigonometric function on the interval 02 . f( x )=cos( 2x )+cosxProblem 95MP:
find the real zeros of each trigonometric function on the interval 02 . f( x )=cos( 2x )+ sin 2 xProblem 96AE:
Constructing a Rain Gutter A rain gutter is to be constructed of aluminum sheets 12 inches wide....Problem 97AE:
Laser Projection In a laser projection system, the optical angle or scanning angle is related to...Problem 98AE:
Product of Inertia The product of inertia for an area about inclined axes is given by the formula I...Problem 99AE:
Projectile Motion An object is propelled upward at an angle , 45 90 , to the horizontal with an...Problem 100AE:
Sawtooth Curve An oscilloscope often displays a sawtooth curve. This curve can be approximated by...Problem 101AE:
Area of an Isosceles Triangle Show that the area A of an isosceles triangle whose equal sides are of...Problem 102AE:
Geometry A rectangle is inscribed in a semicircle of radius 1 See the illustration. (a) Express the...Problem 103AE:
Geometry A regular dodecagon is a regular polygon with sides of equal length where all interior...Problem 104AE:
(a) If x=2tan , express sin( 2 ) as a function of x (a) If x=2tan , express cos( 2 ) as a function...Problem 107AE:
If z=tan 2 , show that sin= 2z 1+ z 2 .Problem 108AE:
If z=tan 2 , show that cos= 1 z 2 1+ z 2 .Problem 110AE:
Repeat Problem 109 for g( x )= cos 2 x .Problem 114AE:
If tan=atan 3 , express tan 3 in terms of a .Problem 115AE:
For cos( 2x )+( 2m1 )sinx+m1=0 , find m such that there is exactly one real solution for x , 2 x ...Problem 116DW:
Go to the library and research Chebyshëv polynomials. Write a report on your findings.Problem 117RYK:
Find an equation of the line that contains the point ( 2,3 ) and is perpendicular to the line y=2x+9...Problem 118RYK:
Graph f( x )= x 2 +6x+7 . Label the vertex and any intercepts.Problem 119RYK:
Find the exact value of sin( 2 3 )cos( 4 3 ) .Problem 120RYK:
Graph y=2cos( 2 x ) . Show at least two periods.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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