Solutions for MyLab Math with Pearson eText -- 24-Month Standalone Access Card -- for Trigonometry
Problem 1E:
CONCEPT PREVIEW Find the exact length of each arc intercepted by the given central angle.
Problem 2E:
CONCEPT PREVIEW Find the exact length of each arc intercepted by the given central angle.Problem 3E:
CONCEPT PREVIEW Find the radius of each circle.Problem 4E:
CONCEPT PREVIEW Find the radius of each circle.Problem 7E:
CONCEPT PREVIEW Find the area of each sector.
7.
Problem 8E:
CONCEPT PREVIEW Find the area of each sector.
8.
Problem 9E:
CONCEPT PREVIEW Find the measure (in radians) of each central angle. The number inside the sector...Problem 10E:
CONCEPT PREVIEW Find the measure (in degrees) of each central angle. The number inside the sector is...Problem 11E:
CONCEPT PREVIEW Find the measure (in degrees) of each central angle. The number inside the sector...Problem 12E:
CONCEPT PREVIEW Find the measure (in degrees) of each central angle. The number inside the sector is...Problem 13E:
Find the length to three significant digits of each arc intercepted by a central angle in a circle...Problem 14E:
Find the length to three significant digits of each arc intercepted by a central angle in a circle...Problem 15E:
Find the length to three significant digits of each arc intercepted by a central angle θ in a...Problem 16E:
Find the length to three significant digits of each arc intercepted by a central angle θ in a circle...Problem 17E:
Find the length to three significant digits of each arc intercepted by a central angle θ in a...Problem 18E:
Find the length to three significant digits of each arc intercepted by a central angle in a circle...Problem 19E:
Find the length to three significant digits of each arc intercepted by a central angle θ in a...Problem 20E:
Find the length to three significant digits of each arc intercepted by a central angle in a circle...Problem 21E:
Concept Check If the radius of a circle is doubled, how is the length of the arc intercepted by a...Problem 22E:
Concept Check Radian measure simplifies many formulas, such as the formula for arc length, s = r....Problem 23E:
Distance between Cities Find the distance in kilometers between each pair of cities, assuming they...Problem 24E:
Distance between Cities Find the distance in kilometers between each pair of cities, assuming they...Problem 25E:
Distance between Cities Find the distance in kilometers between each pair of cities, assuming they...Problem 26E:
Distance between Cities Find the distance in kilometers between each pair of cities, assuming they...Problem 27E:
Latitude of Madison Madison, South Dakota, and Dallas, Texas, are 1200 km apart and lie on the same...Problem 29E:
Work each problem. See Examples 3 and 4. Gear Movement Two gears are adjusted so that the smaller...Problem 30E:
Gear Movement Repeat Exercise 29 for gear radii of 4.8 in. and 7.1 in. and for an angle of 315 for...Problem 31E:
Rotating Wheels The rotation of the smaller wheel in the figure causes the larger wheel to rotate....Problem 32E:
Rotating Wheels Repeat Exercise 31 for wheel radii of 6.84 in. and 12.46 in. and an angle of 150.0...Problem 33E:
Rotating Wheels Find the radius of the larger wheel in the figure if the smaller wheel rotates 80.0...Problem 35E:
Pulley Raising a Weight Refer to the figure. (a) How many inches will the weight in the figure rise...Problem 36E:
36. Pulley Raising a Weight Find the radius of the pulley in the figure if a rotation of 51.6°...Problem 37E:
Bicycle Chain Drive The figure shows the chain drive of a bicycle. How far will the bicycle move if...Problem 38E:
Car Speedometer The speedometer of Terrys Honda CR-V is designed to be accurate with tires of radius...Problem 39E:
Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each...Problem 40E:
Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each...Problem 41E:
Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each...Problem 42E:
Suppose the tip of the minute hand of a clock is 3 in. from the center of the clock. For each...Problem 43E:
If a central angle is very small, there is little difference in length between an arc and the...Problem 44E:
44. Repeat Exercise 43 for a railroad track 2.7 mi away and train that subtends an angle of 2°...Problem 45E:
45. Distance to a Boat The mast of a boat is 32.0 ft high. If it subtends an angle of 2° 11', how...Problem 47E:
Find the area of a sector of a circle having radius r and central angle θ. Express answers to the...Problem 48E:
Find the area of a sector of a circle having radius r and central angle θ. Express answers to the...Problem 49E:
Find the area of a sector of a circle having radius r and central angle . Express answers to the...Problem 51E:
Find the area of a sector of a circle having radius r and central angle θ. Express answers to the...Problem 52E:
Find the area of a sector of a circle having radius r and central angle θ. Express answers to the...Problem 53E:
Find the area of a sector of a circle having radius r and central angle . Express answers to the...Problem 54E:
Find the area of a sector of a circle having radius r and central angle θ. Express answers to the...Problem 55E:
Angle Measure Find the measure (in radians) of a central angle of a sector of area 16 in.2 in a...Problem 56E:
56. Radius Length Find the radius of a circle in which a central angle of radian determines a...Problem 57E:
57. Irrigation Area A center-pivot irrigation system provides water to a sector-shaped field as...Problem 58E:
Irrigation Area Suppose that in Exercise 57 the angle is halved and the radius length is doubled....Problem 59E:
59. Arc Length A circular sector has an area of 50 in.2. The radius of the circle is 5 in. What is...Problem 60E:
60. Angle Measure In a circle, a sector has an area of 16 cm2 and an arc length of 6.0 cm. What is...Problem 61E:
61. Measures of a Structure The figure illustrates Medicine Wheel, a Native American structure in...Problem 62E:
Area Cleaned by a Windshield Wiper The Ford Model A, built from 1928 to 1931, had a single...Problem 63E:
63. Circular Railroad Curves In the United States, circular railroad curves are designated by the...Problem 64E:
Land Required for a Solar-Power Plant A 300-megawatt solar-power plant requires approximately...Problem 65E:
65. Area of a Lot A frequent problem in surveying city lots and rural lands adjacent to curves of...Problem 66E:
Nautical Miles Nautical miles are used by ships and airplanes. They are different from statute...Browse All Chapters of This Textbook
Chapter 1 - Trigonometric FunctionsChapter 1.1 - AnglesChapter 1.2 - Angle Relationships And Similar TrianglesChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Using The Definitions Of The Trigonometric FunctionsChapter 2 - Acute Angles And Right TrianglesChapter 2.1 - Trigonometric Functions Of Acute AnglesChapter 2.2 - Trigonometric Functions Of Non-Acute AnglesChapter 2.3 - Approximations Of Trigonometric Function ValuesChapter 2.4 - Solutions And Applications Of Right Triangles
Chapter 2.5 - Further Applications Of Right TrianglesChapter 3 - Radian Measure And The Unit CircleChapter 3.1 - Radian MeasureChapter 3.2 - Applications Of Radian MeasureChapter 3.3 - The Unit Circle And Circular FunctionsChapter 3.4 - Linear And Angular SpeedChapter 4 - Graphs Of The Circular FunctionsChapter 4.1 - Graphs Of The Sine And Cosine FunctionChapter 4.2 - Translations Of The Graphs Of The Sine And Cosine FunctionsChapter 4.3 - Graphs Of The Tangent And Cotangent FunctionsChapter 4.4 - Graphs Of The Secant And Cosecant FunctionsChapter 4.5 - Harmonic MotionChapter 5 - Trigonometric IdentitiesChapter 5.1 - Fundamental IdentitiesChapter 5.2 - Verifying Trigonometric IdentitiesChapter 5.3 - Sum And Difference Identities For CosineChapter 5.4 - Sum And Difference Identities For Sine And TangentChapter 5.5 - Double-Angle IdentitiesChapter 5.6 - Half-Angle IdentitiesChapter 6 - Inverse Circular Functions And Trigonometric EquationsChapter 6.1 - Inverse Circular FunctionsChapter 6.2 - Trigonometric Equations IChapter 6.3 - Trigonometric Equations IiChapter 6.4 - Equations Involving Inverse Trigonometric FunctionsChapter 7 - Applications Of Trigonometry And VectorsChapter 7.1 - Oblique Triangles And The Law Of SinesChapter 7.2 - The Ambiguous Case Of The Law Of SinesChapter 7.3 - The Law Of CosinesChapter 7.4 - Geometrically Defined Vectors And ApplicationsChapter 7.5 - Algebraically Defined Vectors And The Dot ProductChapter 8 - Complex Numbers, Polar Equations, And Parametric EquationsChapter 8.1 - Complex NumbersChapter 8.2 - Trigonometric (Polar) Form Of Complex NumberChapter 8.3 - The Product And Quotient TheoremsChapter 8.4 - De Moivre’s TheoremChapter 8.5 - Polar Equations And GraphsChapter 8.6 - Parametric Equations, Graphs, And ApplicationChapter A - Equations And InequalitiesChapter B - Graphs Of EquationsChapter C - FunctionsChapter D - Graphing Techniques
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