Solutions for Precalculus: Mathematics for Calculus (Standalone Book)
Problem 1E:
If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the...Problem 2E:
The sign of a trigonometric function of depends on the _____ in which the terminal side of the...Problem 3E:
(a) If is in standard position, then the reference angle is the acute angle formed by the terminal...Problem 4E:
The area A of a triangle with sides of lengths a and b and with included angle is given by the...Problem 6E:
Reference Angle Find the reference angle for the given angle. 6. (a) 175 (b) 310 (c) 730Problem 10E:
Reference Angle Find the reference angle for the given angle. 10. (a) 56 (b) 109 (c) 237Problem 14E:
Values of Trigonometric Functions Find the exact value of the trigonometric function. 14. sin 240Problem 24E:
Values of Trigonometric Functions Find the exact value of the trigonometric function. 24. cos 660Problem 40E:
Quadrant in Which an Angle Lies Find the quadrant in which lies from the information given. 40. csc...Problem 41E:
Expressing One Trigonometric Function in Terms of Another Write the first trigonometric function in...Problem 47E:
Values of Trigonometric Functions Find the values of the trigonometric functions of from the...Problem 49E:
Values of Trigonometric Functions Find the values of the trigonometric functions of from the...Problem 51E:
Values of Trigonometric Functions Find the values of the trigonometric functions of from the...Problem 54E:
Values of Trigonometric Functions Find the values of the trigonometric functions of from the...Problem 58E:
Area of a Triangle Find the area of the triangle with the given description. 58. A triangle with...Problem 61E:
Finding an Angle of a Triangle A triangle has an area of 16 in2, and two of the sides have lengths 5...Problem 62E:
Finding a Side of a Triangle An isosceles triangle has an area of 24 cm2, and the angle between the...Problem 65E:
Height of a Rocket A rocket fired straight up is tracked by an observer on the ground 1 mi away. (a)...Problem 66E:
Rain Gutter A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up...Problem 67E:
Wooden Beam A rectangular beam is to be cut from a cylindrical log of diameter 20 cm. The figures...Problem 68E:
Strength of a Beam The strength of a beam is proportional to the width and the square of the depth....Problem 69E:
Throwing a Shot Put The range R and height H of a shot put thrown with an initial velocity of v0...Problem 70E:
Sledding The time in seconds that it takes for a sled to slide down a hillside inclined at an angle ...Problem 71E:
Beehives In a beehive each cell is a regular hexagonal prism, as shown in the figure. The amount of...Problem 72E:
Turning a Comer A steel pipe is being carried down a hallway that is 9 ft wide. At the end of the...Problem 73E:
Rainbows Rainbows are created when sunlight of different wavelengths (colors) is refracted and...Problem 75E:
DISCUSS DISCOVER: Vites Trigonometric Diagram In the 16th century the French mathematician Franois...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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