Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 4AYP:
If sin= 4 5 , 3 2 then cos= ____ . (pp.401-403)Problem 5CV:
cos( + )=coscos ___ sinsinProblem 6CV:
sin( )=sincos ___ cossinProblem 7CV:
True or False sin( + )=sin+sin+2sinsinProblem 8CV:
True or False tan75 =tan30 +tan45Problem 9CV:
True or False cos( 2 )=cosProblem 11CV:
Choose the expression that completes the sum formula for tangent tangent functions: tan( + )=...Problem 12CV:
Choose the expression that is equivalent to sin 60 cos 20 +cos 60 sin 20 . (a) cos 40 (b) sin...Problem 13SB:
Find the exact value of each expression. cos 165Problem 14SB:
Find the exact value of each expression. sin 105Problem 15SB:
Find the exact value of each expression. tan 15Problem 16SB:
Find the exact value of each expression. tan 195Problem 17SB:
Find the exact value of each expression. sin 5 12Problem 18SB:
Find the exact value of each expression. sin 12Problem 19SB:
Find the exact value of each expression. cos 7 12Problem 20SB:
Find the exact value of each expression. tan 7 12Problem 21SB:
Find the exact value of each expression. sin 17 12Problem 22SB:
Find the exact value of each expression. tan 19 12Problem 23SB:
Find the exact value of each expression. sec( 12 )Problem 24SB:
Find the exact value of each expression. cot( 5 12 )Problem 35SB:
In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...Problem 36SB:
In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...Problem 37SB:
In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...Problem 38SB:
In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...Problem 39SB:
In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...Problem 40SB:
In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...Problem 41SB:
If sin= 1 3 , in quadrant II, find the exact value of: (a) cos (b) sin( + 6 ) (c) cos( 3 ) (d)...Problem 42SB:
If cos= 1 4 , in quadrant IV, find the exact value of: (a) sin (b) sin( 6 ) (c) cos( + 3 ) (d)...Problem 43SB:
In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...Problem 44SB:
In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...Problem 45SB:
In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...Problem 46SB:
In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...Problem 47SB:
In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...Problem 48SB:
In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...Problem 49SB:
establish each identify. sin( 2 + )=cosProblem 50SB:
establish each identify. cos( 2 + )=sinProblem 51SB:
establish each identify. sin( )=sinProblem 52SB:
establish each identify. cos( )=cosProblem 53SB:
establish each identify. sin( + )=sinProblem 54SB:
establish each identify. cos( + )=cosProblem 55SB:
establish each identify. tan( )=tanProblem 56SB:
establish each identify. tan( 2 )=tanProblem 57SB:
establish each identify. sin( 3 2 + )=cosProblem 58SB:
establish each identify. cos( 3 2 + )=sinProblem 59SB:
establish each identify. sin( + )+sin( )=2sincosProblem 60SB:
establish each identify. cos( + )+cos( )=2coscosProblem 61SB:
establish each identify. sin( + ) sincos =1+cottanProblem 62SB:
establish each identify. sin( + ) coscos =tan+tanProblem 63SB:
establish each identify. cos( + ) coscos =1tantanProblem 64SB:
establish each identify. cos( ) sincos =cot+tanProblem 67SB:
establish each identify. cot( + )= cotcot1 cot+cotProblem 68SB:
establish each identify. cot( )= cotcot+1 cotcotProblem 69SB:
establish each identify. sec( + )= csccsc cotcot1Problem 70SB:
establish each identify. sec( )= secsec 1+tantanProblem 71SB:
establish each identify. sin( )sin( + )= sin 2 sin 2Problem 72SB:
establish each identify. cos( )cos( + )= cos 2 sin 2Problem 75SB:
In problems 75-86, find the exact value of each expression. sin( sin 1 1 2 + cos 1 0 )Problem 76SB:
In problems 75-86, find the exact value of each expression. sin( sin 1 3 2 + cos 1 1 )Problem 77SB:
In problems 75-86, find the exact value of each expression. sin[ sin 1 3 5 cos 1 ( 4 5 ) ]Problem 78SB:
In problems 75-86, find the exact value of each expression. sin[ sin 1 ( 4 5 ) tan 1 3 4 ]Problem 79SB:
In problems 75-86, find the exact value of each expression. cos( ta n 1 4 3 +cos 1 5 13 )Problem 80SB:
In problems 75-86, find the exact value of each expression. cos[ tan 1 5 12 sin 1 ( 3 5 ) ]Problem 81SB:
In problems 75-86, find the exact value of each expression. cos( sin 1 5 13 tan 1 3 4 )Problem 82SB:
In problems 75-86, find the exact value of each expression. cos( tan 1 4 3 +cos 1 12 13 )Problem 85SB:
In problems 75-86, find the exact value of each expression. tan( sin 1 4 5 + cos 1 1 )Problem 87SB:
In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....Problem 88SB:
In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....Problem 89SB:
In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....Problem 90SB:
In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....Problem 91SB:
In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....Problem 92SB:
In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....Problem 99AE:
Show that sin 1 v+ cos 1 v= 2 .Problem 100AE:
Show that tan 1 v+ cot 1 v= 2 .Problem 101AE:
Show that tan 1 ( 1 v )= 2 tan 1 v , if v0 .Problem 102AE:
Show that cot 1 e v =tan 1 e v .Problem 103AE:
Show that sin( sin 1 v+ cos 1 v )=1 .Problem 104AE:
Show that cos( sin 1 v+ cos 1 v )=0 .Problem 105AE:
Calculus Show that the difference quotient for f( x )=sinx is given by f( x+h )f( x ) h = sin( x+h...Problem 106AE:
Calculus Show that the difference quotient for f( x )=cosx is given by f( x+h )f( x ) h = cos( x+h...Problem 107AE:
One, Two, Three (a) Show that tan( tan 1 1+ tan 1 2+ tan 1 3 )=0 . (b) Conclude from part (a) that...Problem 108AE:
Electric Power In an alternating current (ac) circuit, the instantaneous power p at time t is given...Problem 111AE:
If tan=x+1andtan=x1 , show that 2cot( )= x 2Problem 112DW:
Discuss the following derivation: tan( + 2 )= tan+tan 2 1tantan 2 = tan tan 2 +1 1 tan 2 tan =...Problem 113DW:
Explain why formula (7) cannot be used to show that tan( 2 )=cot Establish this identity by using...Problem 115RYK:
Convert 17 6 to degrees.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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