Solutions for Precalculus: Mathematics for Calculus (Standalone Book)
Problem 1E:
A right triangle with an angle is shown in the figure. (a) Label the opposite and adjacent sides of...Problem 3E:
Trigonometric Ratios Find the exact values of the six trigonometric ratios of the angle in the...Problem 5E:
Trigonometric Ratios Find the exact values of the six trigonometric ratios of the angle in the...Problem 8E:
Trigonometric Ratios Find the exact values of the six trigonometric ratios of the angle in the...Problem 10E:
Trigonometric Ratios Find (a) sin and cos , (b) tan and cot , and (c) sec and csc . 10.Problem 11E:
Using a Calculator Use a calculator to evaluate the expression. Round your answer to five decimal...Problem 14E:
Using a Calculator Use a calculator to evaluate the expression. Round your answer to five decimal...Problem 17E:
Finding an Unknown Side Find the side labeled x. In Exercises 17 and 18 state your answer rounded to...Problem 18E:
Finding an Unknown Side Find the side labeled x. In Exercises 17 and 18 state your answer rounded to...Problem 19E:
Finding an Unknown Side Find the side labeled x. In Exercises 17 and 18 state your answer rounded to...Problem 20E:
Finding an Unknown Side Find the side labeled x. In Exercises 17 and 18 state your answer rounded to...Problem 28E:
Trigonometric Ratios Sketch a triangle that has acute angle , and find the other five trigonometric...Problem 33E:
Evaluating an Expression Evaluate the expression without using a calculator. 33. (cos 30)2 (sin...Problem 36E:
Evaluating an Expression Evaluate the expression without using a calculator. 36. (sin3tan6+csc4)2Problem 52E:
Trigonometric Ratios Express the lengths a, b, c, and d in the figure in terms of the trigonometric...Problem 53E:
Height of a Building The angle of elevation to the top of the Empire State Building in New York is...Problem 54E:
Gateway Arch A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an...Problem 55E:
Deviation of a Laser Beam A laser beam is to be directed toward the center of the moon, but the beam...Problem 56E:
Distance at Sea From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean...Problem 57E:
Leaning Ladder A 20-ft ladder leans against a building so that the angle between the ground and the...Problem 59E:
Elevation of a Kite A man is lying on the beach, flying a kite. He holds the end of the kite string...Problem 60E:
Determining a Distance A woman standing on a hill sees a flagpole that she knows is 60 ft tall. The...Problem 61E:
Height of a Tower A water tower is located 325 ft from a building (see the figure). From a window in...Problem 63E:
Determining a Distance If both cars in Exercise 62 are on one side of the plane and if the angle of...Problem 64E:
Height of a Balloon A hot-air balloon is floating above a straight road. To estimate their height...Problem 65E:
Height of a Mountain To estimate the height of a mountain above a level plain, the angle of...Problem 66E:
Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a...Problem 67E:
Distance to the Sun When the moon is exactly half full, the earth, moon, and sun form a right angle...Problem 68E:
Distance to the Moon To find the distance to the sun as in Exercise 67, we needed to know the...Problem 69E:
Radius of the Earth In Exercise 80 of Section 6.1 a method was given for finding the radius of the...Browse All Chapters of This Textbook
Chapter 1 - FundamentalsChapter 1.1 - Real NumbersChapter 1.2 - Exponents And RadicalsChapter 1.3 - Algebraic ExpressionsChapter 1.4 - Rational ExpressionsChapter 1.5 - EquationsChapter 1.6 - Complex NumbersChapter 1.7 - Modeling With EquationsChapter 1.8 - InequalitiesChapter 1.9 - The Coordinate Plane; Graphs Of Equations; Circles
Chapter 1.10 - LinesChapter 1.11 - Solving Equations And Inequalities GraphicallyChapter 1.12 - Modeling VariationChapter 2 - FunctionsChapter 2.1 - FunctionsChapter 2.2 - Graphs Of FunctionsChapter 2.3 - Getting Information From The Graph Of A FunctionChapter 2.4 - Average Rate Of Change Of A FunctionChapter 2.5 - Linear Functions And ModelsChapter 2.6 - Transformations Of FunctionsChapter 2.7 - Combining FunctionsChapter 2.8 - One-to-one Functions And Their InversesChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Quadratic Functions And ModelsChapter 3.2 - Polynomial Functions And Their GraphsChapter 3.3 - Dividing PolynomialsChapter 3.4 - Real Zeros Of PolynomialsChapter 3.5 - Complex Zeros And The Fundamental Theorem Of AlgebraChapter 3.6 - Rational FunctionsChapter 3.7 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Exponential FunctionsChapter 4.2 - The Natural Exponential FunctionChapter 4.3 - Logarithmic FunctionsChapter 4.4 - Laws Of LogarithmsChapter 4.5 - Exponential And Logarithmic EquationsChapter 4.6 - Modeling With Exponential FunctionsChapter 4.7 - Logarithmic ScalesChapter 5 - Trigonometric Functions: Unit Circle ApproachChapter 5.1 - The Unit CircleChapter 5.2 - Trigonometric Functions Of Real NumbersChapter 5.3 - Trigonometric GraphsChapter 5.4 - More Trigonometric GraphsChapter 5.5 - Inverse Trigonometric Functions And Their GraphsChapter 5.6 - Modeling Harmonic MotionChapter 6 - Trigonometric Functions: Right Triangle ApproachChapter 6.1 - Angle MeasureChapter 6.2 - Trigonometry Of Right TrianglesChapter 6.3 - Trigonometric Functions Of AnglesChapter 6.4 - Inverse Trigonometric Functions And Right TrianglesChapter 6.5 - The Law Of SinesChapter 6.6 - The Law Of CosinesChapter 7 - Analytic TrigonometryChapter 7.1 - Trigonometric IdentitiesChapter 7.2 - Addition And Subtraction FormulasChapter 7.3 - Double-angle, Half-angle, And Product-sum FormulasChapter 7.4 - Basic Trigonometric EquationsChapter 7.5 - More Trigonometric EquationsChapter 8 - Polar Coordinates And Parametric EquationsChapter 8.1 - Polar CoordinatesChapter 8.2 - Graphs Of Polar EquationsChapter 8.3 - Polar Form Of Complex Numbers; De Moivre's TheoremChapter 8.4 - Plane Curves And Parametric EquationsChapter 9 - Vectors In Two And Three DimensionsChapter 9.1 - Vectors In Two DimensionsChapter 9.2 - The Dot ProductChapter 9.3 - Three-dimensional Coordinate GeometryChapter 9.4 - Vectors In Three DimensionsChapter 9.5 - The Cross ProductChapter 9.6 - Equations Of Lines And PlanesChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations In Two VariablesChapter 10.2 - Systems Of Linear Equations In Several VariablesChapter 10.3 - Matrices And Systems Of Linear EquationsChapter 10.4 - The Algebra Of MatricesChapter 10.5 - Inverses Of Matrices And Matrix EquationsChapter 10.6 - Determinants And Cramer's RuleChapter 10.7 - Partial FractionsChapter 10.8 - Systems Of Nonlinear EquationsChapter 10.9 - Systems Of InequalitiesChapter 11 - Conic SectionsChapter 11.1 - ParabolasChapter 11.2 - EllipsesChapter 11.3 - HyperbolasChapter 11.4 - Shifted ConicsChapter 11.5 - Rotation Of AxesChapter 11.6 - Polar Equations Of ConicsChapter 12 - Sequences And SeriesChapter 12.1 - Sequences And Summation NotationChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric SequencesChapter 12.4 - Mathematics Of FinanceChapter 12.5 - Mathematical InductionChapter 12.6 - The Binomial TheoremChapter 13 - Limits: A Preview Of CalculusChapter 13.1 - Finding Limits Numerically And GraphicallyChapter 13.2 - Finding Limits AlgebraicallyChapter 13.3 - Tangent Lines And DerivativesChapter 13.4 - Limits At Infinity; Limits Of SequencesChapter 13.5 - Areas
Book Details
This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity--the same as found in James Stewart's market-leading Calculus text--is what makes this text the proven market leader.
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