Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 1AYP:
True or False sin 2 =1 cos 2Problem 2AYP:
True or False sin( )+cos( )=cossinProblem 3CV:
Suppose that fandg are two functions with the same domain. If f( x )=g( x ) for every x in the...Problem 4CV:
tan 2 sec 2 = _____.Problem 5CV:
cos()cos= _____.Problem 6CV:
True or False sin( )+sin=0 for any value of .Problem 7CV:
True or False In establishing an identity, it is often easiest to just multiply both sides by a...Problem 8CV:
Which of the following equation is not an identity? (a) cot 2 +1= csc 2 (b) tan( )=tan (c) tan=...Problem 9CV:
Which of the following equation is not an identity? (a) cot 2 +1= csc 2 (b) tan( )=tan (c) tan=...Problem 10CV:
The expression 1 1sin + 1 1+sin simplifies to which of the following? (a) 2 cos 2 (b) 2 sec 2 (c)...Problem 11SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 12SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 13SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 14SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 15SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 16SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 17SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 18SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 19SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 20SB:
In Problems 11-20, simplify each trigonometric expression by following the indicated direction....Problem 21SB:
establish each identity. secsin=tanProblem 22SB:
establish each identity. secsin=tanProblem 23SB:
establish each identity. 1+ tan 2 ( )= sec 2Problem 24SB:
establish each identity. 1+ cot 2 ( )= csc 2Problem 25SB:
establish each identity. cos( tan+cot )=cscProblem 26SB:
establish each identity. sin( cot+tan )=secProblem 27SB:
establish each identity. tanucotu cos 2 u= sin 2 uProblem 28SB:
establish each identity. sinucscu cos 2 u= sin 2 uProblem 29SB:
establish each identity. ( sec1 )( sec+1 )= tan 2Problem 30SB:
establish each identity. ( csc1 )( csc+1 )= cot 2Problem 31SB:
establish each identity. ( sec+tan )( sectan )=1Problem 32SB:
establish each identity. ( csc+cot )( csccot )=1Problem 33SB:
establish each identity. cos 2 ( 1+ tan 2 )=1Problem 34SB:
establish each identity. ( 1 cos 2 )( 1+ cot 2 )=1Problem 35SB:
establish each identity. ( sin+cos ) 2 + ( sincos ) 2 =2Problem 36SB:
establish each identity. tan 2 cos 2 + cot 2 sin 2 =1Problem 37SB:
establish each identity. sec 4 sec 2 = tan 4 + tan 2Problem 38SB:
establish each identity. csc 4 csc 2 = cot 4 + cot 2Problem 39SB:
establish each identity. secutanu= cosu 1+sinuProblem 40SB:
establish each identity. cscucotu= sinu 1+cosuProblem 41SB:
establish each identity. 3 sin 2 +4 cos 2 =3+ cos 2Problem 42SB:
establish each identity. 9 sec 2 5 tan 2 =5+4 sec 2Problem 43SB:
establish each identity. 1 cos 2 1+sin =sinProblem 44SB:
establish each identity. 1 sin 2 1cos =cosProblem 45SB:
establish each identity. 1+tan 1tan = cot+1 cot1Problem 46SB:
establish each identity. csc1 csc+1 = 1sin 1+sinProblem 47SB:
establish each identity. sec csc + sin cos =2tanProblem 48SB:
establish each identity. csc1 cot = cot csc+1Problem 49SB:
establish each identity. 1+sin 1sin = csc+1 csc1Problem 50SB:
establish each identity. cos+1 cos1 = 1+sec 1secProblem 51SB:
establish each identity. 1sin cos + cos 1sin =2secProblem 52SB:
establish each identity. cos 1+sin + 1+sin cos =2secProblem 53SB:
establish each identity. sin sincos = 1 1cotProblem 54SB:
establish each identity. 1 sin 2 1+cos =cosProblem 55SB:
establish each identity. 1sin 1+sin = ( sectan ) 2Problem 56SB:
establish each identity. 1cos 1+cos = (csccot) 2Problem 57SB:
establish each identity. cos 1tan + sin 1cot =sin+cosProblem 58SB:
establish each identity. cot 1tan + tan 1cot =1+tan+cotProblem 59SB:
establish each identity. tan+ cos 1+sin =secProblem 60SB:
establish each identity. tan+ cos 1+sin =secProblem 61SB:
establish each identity. tan+sec1 tansec+1 =tan+secProblem 62SB:
establish each identity. sincos+1 sin+cos1 = sin+1 cosProblem 63SB:
establish each identity. tancot tan+cot = sin 2 cos 2Problem 64SB:
establish each identity. seccos sec+cos = sin 2 1+ cos 2Problem 65SB:
establish each identity. tanucotu tanu+cotu +1=2 sin 2 uProblem 66SB:
establish each identity. tanucotu tanu+cotu +2 cos 2 u=1Problem 67SB:
establish each identity. sec+tan cot+cos =tansecProblem 68SB:
establish each identity. sec 1+sec = 1cos sin 2Problem 69SB:
establish each identity. 1 tan 2 1+ tan 2 +1=2 cos 2Problem 70SB:
establish each identity. 1 cot 2 1+ cot 2 +2 cos 2 =1Problem 71SB:
establish each identity. seccsc seccsc =sincosProblem 72SB:
establish each identity. sin 2 tan cos 2 cot = tan 2Problem 73SB:
establish each identity. seccos=sintanProblem 74SB:
establish each identity. tan+cot=seccscProblem 75SB:
establish each identity. 1 1sin + 1 1+sin =2 sec 2Problem 76SB:
establish each identity. 1+sin 1sin 1sin 1+sin =4tansecProblem 77SB:
establish each identity. sec 1sin = 1+sin cos 3Problem 78SB:
establish each identity. 1+sin 1sin = ( sec+tan ) 2Problem 80SB:
establish each identity. sec 2 tan 2 +tan sec =sin+cosProblem 81SB:
establish each identity. sin+cos cos sincos sin =seccscProblem 82SB:
establish each identity. sin+cos sin cossin cos =seccscProblem 83SB:
establish each identity. sin 3 +co s 3 sin+cos =1sincosProblem 85SB:
establish each identity. co s 2 sin 2 1 tan 2 = cos 2Problem 86SB:
establish each identity. cos+sin sin 3 sin =cot+ cos 2Problem 88SB:
establish each identity. 12 cos 2 sincos =tancotProblem 89SB:
establish each identity. 1+sin+cos 1+sincos = 1+cos sinProblem 90SB:
establish each identity. 1+cos+sin 1+cossin =sec+tanProblem 93SB:
establish each identity. tan+tan cot+cot =tantanProblem 97SB:
establish each identity. ln| sec |=ln| cos |Problem 98SB:
establish each identity. ln| tan |=ln| sin |ln| cos |Problem 100SB:
establish each identity. ln| sec+tan |+ln| sectan |=0Problem 102SB:
In Problems 101-104, show that the functions f and g are identically equal. f( x )=cosxcotxg( x...Problem 103SB:
In Problems 101-104, show that the functions f and g are identically equal. f( )= 1sin cos cos...Problem 104SB:
In Problems 101-104, show that the functions f and g are identically equal. f( )=tan+secg( )= cos...Problem 105SB:
Show that 16+16 tan 2 =4sec if 2 2 .Problem 106SB:
Show that 9 sec 2 9 =3tan if 3 2 .Problem 107AE:
Searchlights A searchlight at the grand opening of a new car dealership casts a spot of light on a...Problem 108AE:
Optical Measurement Optical methods of measurement often rely on the interference of two light...Problem 110DW:
Write down the three Pythagorean Identities.Problem 111DW:
Why do you think it is usually preferable to start with the side containing the more complicated...Problem 112DW:
Make up an identity that is not a basic identity.Problem 113RYK:
Determine whether f( x )=3 x 2 +120x+50 has a maximum or a minimum value, and then find the value.Problem 114RYK:
Given f( x )= x+1 x2 andg( x )=3x4 , find fg .Problem 115RYK:
Find the exact values of the six trigonometric functions of an angle in standard position if ( 12,5...Problem 116RYK:
Find the average rate of change of f( x )=cosx from 0 to 2 .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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