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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 8.2, Problem 7CP
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 5CP
Problem 6CP
Problem 7CP
Problem 1SWU
Problem 2SWU
Problem 3SWU
Problem 4SWU
Problem 5SWU
Problem 6SWU
Problem 7SWU
Problem 8SWU
Problem 9SWU
Problem 10SWU
Problem 11SWU
Problem 12SWU
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
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Problem 35E
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Problem 37E
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Problem 45E
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Problem 47E
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Problem 49E
Problem 50E
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Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
Problem 88E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

Solve the equation for θ.

sin   2 θ + sin θ = 0 ,         0 ≤ θ ≤ 2 π

To determine

To calculate: The values of θ for the trigonometric equation sin2θ+sinθ=0.

Explanation

Given Information:

The provided trigonometric equation is, sin2θ+sinθ=0.

Formula used:

Double angle formula for trigonometric identity:

sin2θ=2sinθcosθ

Calculation:

Consider the trigonometric equation, sin2θ+sinθ=0

Simplify the provided trigonometry equation,

sin2θ+sinθ=02sinθcosθ+sinθ=0sinθ(2cosθ+1)=0

Further solve.

sinθ=0

And,

2cosθ+1=0cosθ=−12

Since sine is zero at θ=0, θ=π and θ=2π, while cosine is negative in second and third quadrants

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Chapter 8.2,
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Sect-8.1 P-1CPSect-8.1 P-2CPSect-8.1 P-3CPSect-8.1 P-4CPSect-8.1 P-1SWUSect-8.1 P-2SWUSect-8.1 P-3SWUSect-8.1 P-4SWUSect-8.1 P-5SWUSect-8.1 P-6SWU
Sect-8.1 P-7SWUSect-8.1 P-8SWUSect-8.1 P-9SWUSect-8.1 P-10SWUSect-8.1 P-1ESect-8.1 P-2ESect-8.1 P-3ESect-8.1 P-4ESect-8.1 P-5ESect-8.1 P-6ESect-8.1 P-7ESect-8.1 P-8ESect-8.1 P-9ESect-8.1 P-10ESect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.1 P-15ESect-8.1 P-16ESect-8.1 P-17ESect-8.1 P-18ESect-8.1 P-19ESect-8.1 P-20ESect-8.1 P-21ESect-8.1 P-22ESect-8.1 P-23ESect-8.1 P-24ESect-8.1 P-25ESect-8.1 P-26ESect-8.1 P-27ESect-8.1 P-28ESect-8.1 P-29ESect-8.1 P-30ESect-8.1 P-31ESect-8.1 P-32ESect-8.1 P-33ESect-8.1 P-34ESect-8.1 P-35ESect-8.1 P-36ESect-8.1 P-37ESect-8.1 P-38ESect-8.1 P-39ESect-8.1 P-40ESect-8.1 P-41ESect-8.1 P-42ESect-8.1 P-43ESect-8.1 P-44ESect-8.1 P-45ESect-8.1 P-46ESect-8.1 P-47ESect-8.1 P-48ESect-8.1 P-49ESect-8.1 P-50ESect-8.1 P-51ESect-8.1 P-52ESect-8.1 P-53ESect-8.1 P-54ESect-8.1 P-55ESect-8.1 P-56ESect-8.1 P-57ESect-8.1 P-58ESect-8.2 P-1CPSect-8.2 P-2CPSect-8.2 P-3CPSect-8.2 P-4CPSect-8.2 P-5CPSect-8.2 P-6CPSect-8.2 P-7CPSect-8.2 P-1SWUSect-8.2 P-2SWUSect-8.2 P-3SWUSect-8.2 P-4SWUSect-8.2 P-5SWUSect-8.2 P-6SWUSect-8.2 P-7SWUSect-8.2 P-8SWUSect-8.2 P-9SWUSect-8.2 P-10SWUSect-8.2 P-11SWUSect-8.2 P-12SWUSect-8.2 P-1ESect-8.2 P-2ESect-8.2 P-3ESect-8.2 P-4ESect-8.2 P-5ESect-8.2 P-6ESect-8.2 P-7ESect-8.2 P-8ESect-8.2 P-9ESect-8.2 P-10ESect-8.2 P-11ESect-8.2 P-12ESect-8.2 P-13ESect-8.2 P-14ESect-8.2 P-15ESect-8.2 P-16ESect-8.2 P-17ESect-8.2 P-18ESect-8.2 P-19ESect-8.2 P-20ESect-8.2 P-21ESect-8.2 P-22ESect-8.2 P-23ESect-8.2 P-24ESect-8.2 P-25ESect-8.2 P-26ESect-8.2 P-27ESect-8.2 P-28ESect-8.2 P-29ESect-8.2 P-30ESect-8.2 P-31ESect-8.2 P-32ESect-8.2 P-33ESect-8.2 P-34ESect-8.2 P-35ESect-8.2 P-36ESect-8.2 P-37ESect-8.2 P-38ESect-8.2 P-39ESect-8.2 P-40ESect-8.2 P-41ESect-8.2 P-42ESect-8.2 P-43ESect-8.2 P-44ESect-8.2 P-45ESect-8.2 P-46ESect-8.2 P-47ESect-8.2 P-48ESect-8.2 P-49ESect-8.2 P-50ESect-8.2 P-51ESect-8.2 P-52ESect-8.2 P-53ESect-8.2 P-54ESect-8.2 P-55ESect-8.2 P-56ESect-8.2 P-57ESect-8.2 P-58ESect-8.2 P-59ESect-8.2 P-60ESect-8.2 P-61ESect-8.2 P-62ESect-8.2 P-63ESect-8.2 P-64ESect-8.2 P-65ESect-8.2 P-66ESect-8.2 P-67ESect-8.2 P-68ESect-8.2 P-69ESect-8.2 P-70ESect-8.2 P-71ESect-8.2 P-72ESect-8.2 P-73ESect-8.2 P-74ESect-8.2 P-75ESect-8.2 P-76ESect-8.2 P-77ESect-8.2 P-78ESect-8.2 P-79ESect-8.2 P-80ESect-8.2 P-81ESect-8.2 P-82ESect-8.2 P-83ESect-8.2 P-84ESect-8.2 P-85ESect-8.2 P-86ESect-8.2 P-87ESect-8.2 P-88ESect-8.3 P-1CPSect-8.3 P-2CPSect-8.3 P-3CPSect-8.3 P-4CPSect-8.3 P-5CPSect-8.3 P-6CPSect-8.3 P-1SWUSect-8.3 P-2SWUSect-8.3 P-3SWUSect-8.3 P-4SWUSect-8.3 P-5SWUSect-8.3 P-6SWUSect-8.3 P-7SWUSect-8.3 P-8SWUSect-8.3 P-9SWUSect-8.3 P-10SWUSect-8.3 P-11SWUSect-8.3 P-12SWUSect-8.3 P-13SWUSect-8.3 P-14SWUSect-8.3 P-15SWUSect-8.3 P-16SWUSect-8.3 P-17SWUSect-8.3 P-18SWUSect-8.3 P-1ESect-8.3 P-2ESect-8.3 P-3ESect-8.3 P-4ESect-8.3 P-5ESect-8.3 P-6ESect-8.3 P-7ESect-8.3 P-8ESect-8.3 P-9ESect-8.3 P-10ESect-8.3 P-11ESect-8.3 P-12ESect-8.3 P-13ESect-8.3 P-14ESect-8.3 P-15ESect-8.3 P-16ESect-8.3 P-17ESect-8.3 P-18ESect-8.3 P-19ESect-8.3 P-20ESect-8.3 P-21ESect-8.3 P-22ESect-8.3 P-23ESect-8.3 P-24ESect-8.3 P-25ESect-8.3 P-26ESect-8.3 P-27ESect-8.3 P-28ESect-8.3 P-29ESect-8.3 P-30ESect-8.3 P-31ESect-8.3 P-32ESect-8.3 P-33ESect-8.3 P-34ESect-8.3 P-35ESect-8.3 P-36ESect-8.3 P-37ESect-8.3 P-38ESect-8.3 P-39ESect-8.3 P-40ESect-8.3 P-41ESect-8.3 P-42ESect-8.3 P-43ESect-8.3 P-44ESect-8.3 P-45ESect-8.3 P-46ESect-8.3 P-47ESect-8.3 P-48ESect-8.3 P-49ESect-8.3 P-50ESect-8.3 P-51ESect-8.3 P-52ESect-8.3 P-53ESect-8.3 P-54ESect-8.3 P-55ESect-8.3 P-56ESect-8.3 P-57ESect-8.3 P-58ESect-8.3 P-59ESect-8.3 P-60ESect-8.3 P-61ESect-8.3 P-62ESect-8.3 P-63ESect-8.3 P-64ESect-8.3 P-65ESect-8.3 P-66ESect-8.3 P-67ESect-8.3 P-68ESect-8.3 P-69ESect-8.3 P-70ESect-8.3 P-71ESect-8.3 P-72ESect-8.3 P-73ESect-8.3 P-74ESect-8.3 P-75ESect-8.3 P-76ESect-8.3 P-77ESect-8.3 P-78ESect-8.3 P-79ESect-8.3 P-80ESect-8.3 P-81ESect-8.3 P-82ESect-8.3 P-83ESect-8.3 P-84ESect-8.3 P-85ESect-8.3 P-86ESect-8.3 P-87ESect-8.3 P-88ESect-8.3 P-1QYSect-8.3 P-2QYSect-8.3 P-3QYSect-8.3 P-4QYSect-8.3 P-5QYSect-8.3 P-6QYSect-8.3 P-7QYSect-8.3 P-8QYSect-8.3 P-9QYSect-8.3 P-10QYSect-8.3 P-11QYSect-8.3 P-12QYSect-8.3 P-13QYSect-8.3 P-14QYSect-8.3 P-15QYSect-8.3 P-16QYSect-8.3 P-17QYSect-8.3 P-18QYSect-8.3 P-19QYSect-8.3 P-20QYSect-8.3 P-21QYSect-8.3 P-22QYSect-8.3 P-23QYSect-8.3 P-24QYSect-8.3 P-25QYSect-8.4 P-1CPSect-8.4 P-2CPSect-8.4 P-3CPSect-8.4 P-4CPSect-8.4 P-5CPSect-8.4 P-6CPSect-8.4 P-7CPSect-8.4 P-8CPSect-8.4 P-9CPSect-8.4 P-1SWUSect-8.4 P-2SWUSect-8.4 P-3SWUSect-8.4 P-4SWUSect-8.4 P-5SWUSect-8.4 P-6SWUSect-8.4 P-7SWUSect-8.4 P-8SWUSect-8.4 P-9SWUSect-8.4 P-10SWUSect-8.4 P-1ESect-8.4 P-2ESect-8.4 P-3ESect-8.4 P-4ESect-8.4 P-5ESect-8.4 P-6ESect-8.4 P-7ESect-8.4 P-8ESect-8.4 P-9ESect-8.4 P-10ESect-8.4 P-11ESect-8.4 P-12ESect-8.4 P-13ESect-8.4 P-14ESect-8.4 P-15ESect-8.4 P-16ESect-8.4 P-17ESect-8.4 P-18ESect-8.4 P-19ESect-8.4 P-20ESect-8.4 P-21ESect-8.4 P-22ESect-8.4 P-23ESect-8.4 P-24ESect-8.4 P-25ESect-8.4 P-26ESect-8.4 P-27ESect-8.4 P-28ESect-8.4 P-29ESect-8.4 P-30ESect-8.4 P-31ESect-8.4 P-32ESect-8.4 P-33ESect-8.4 P-34ESect-8.4 P-35ESect-8.4 P-36ESect-8.4 P-37ESect-8.4 P-38ESect-8.4 P-39ESect-8.4 P-40ESect-8.4 P-41ESect-8.4 P-42ESect-8.4 P-43ESect-8.4 P-44ESect-8.4 P-45ESect-8.4 P-46ESect-8.4 P-47ESect-8.4 P-48ESect-8.4 P-49ESect-8.4 P-50ESect-8.4 P-51ESect-8.4 P-52ESect-8.4 P-53ESect-8.4 P-54ESect-8.4 P-55ESect-8.4 P-56ESect-8.4 P-57ESect-8.4 P-58ESect-8.4 P-59ESect-8.4 P-60ESect-8.4 P-61ESect-8.4 P-62ESect-8.4 P-63ESect-8.4 P-64ESect-8.4 P-65ESect-8.4 P-66ESect-8.4 P-67ESect-8.4 P-68ESect-8.4 P-69ESect-8.4 P-70ESect-8.4 P-71ESect-8.4 P-72ESect-8.4 P-73ESect-8.4 P-74ESect-8.4 P-75ESect-8.4 P-76ESect-8.4 P-77ESect-8.4 P-78ESect-8.4 P-79ESect-8.4 P-80ESect-8.4 P-81ESect-8.4 P-82ESect-8.4 P-83ESect-8.4 P-84ESect-8.5 P-1CPSect-8.5 P-2CPSect-8.5 P-3CPSect-8.5 P-4CPSect-8.5 P-5CPSect-8.5 P-6CPSect-8.5 P-7CPSect-8.5 P-8CPSect-8.5 P-9CPSect-8.5 P-1SWUSect-8.5 P-2SWUSect-8.5 P-3SWUSect-8.5 P-4SWUSect-8.5 P-5SWUSect-8.5 P-6SWUSect-8.5 P-7SWUSect-8.5 P-8SWUSect-8.5 P-9SWUSect-8.5 P-10SWUSect-8.5 P-11SWUSect-8.5 P-12SWUSect-8.5 P-13SWUSect-8.5 P-14SWUSect-8.5 P-15SWUSect-8.5 P-16SWUSect-8.5 P-17SWUSect-8.5 P-18SWUSect-8.5 P-19SWUSect-8.5 P-20SWUSect-8.5 P-1ESect-8.5 P-2ESect-8.5 P-3ESect-8.5 P-4ESect-8.5 P-5ESect-8.5 P-6ESect-8.5 P-7ESect-8.5 P-8ESect-8.5 P-9ESect-8.5 P-10ESect-8.5 P-11ESect-8.5 P-12ESect-8.5 P-13ESect-8.5 P-14ESect-8.5 P-15ESect-8.5 P-16ESect-8.5 P-17ESect-8.5 P-18ESect-8.5 P-19ESect-8.5 P-20ESect-8.5 P-21ESect-8.5 P-22ESect-8.5 P-23ESect-8.5 P-24ESect-8.5 P-25ESect-8.5 P-26ESect-8.5 P-27ESect-8.5 P-28ESect-8.5 P-29ESect-8.5 P-30ESect-8.5 P-31ESect-8.5 P-32ESect-8.5 P-33ESect-8.5 P-34ESect-8.5 P-35ESect-8.5 P-36ESect-8.5 P-37ESect-8.5 P-38ESect-8.5 P-39ESect-8.5 P-40ESect-8.5 P-41ESect-8.5 P-42ESect-8.5 P-43ESect-8.5 P-44ESect-8.5 P-45ESect-8.5 P-46ESect-8.5 P-47ESect-8.5 P-48ESect-8.5 P-49ESect-8.5 P-50ESect-8.5 P-51ESect-8.5 P-52ESect-8.5 P-53ESect-8.5 P-54ESect-8.5 P-55ESect-8.5 P-56ESect-8.5 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P-80RECh-8 P-81RECh-8 P-82RECh-8 P-83RECh-8 P-84RECh-8 P-85RECh-8 P-86RECh-8 P-87RECh-8 P-88RECh-8 P-89RECh-8 P-90RECh-8 P-91RECh-8 P-92RECh-8 P-93RECh-8 P-94RECh-8 P-95RECh-8 P-96RECh-8 P-97RECh-8 P-98RECh-8 P-99RECh-8 P-100RECh-8 P-101RECh-8 P-102RECh-8 P-103RECh-8 P-104RECh-8 P-105RECh-8 P-106RECh-8 P-107RECh-8 P-108RECh-8 P-109RECh-8 P-110RECh-8 P-111RECh-8 P-112RECh-8 P-113RECh-8 P-114RECh-8 P-115RECh-8 P-116RECh-8 P-117RECh-8 P-118RECh-8 P-119RECh-8 P-120RECh-8 P-121RECh-8 P-122RECh-8 P-123RECh-8 P-124RECh-8 P-125RECh-8 P-126RECh-8 P-1TYSCh-8 P-2TYSCh-8 P-3TYSCh-8 P-4TYSCh-8 P-5TYSCh-8 P-6TYSCh-8 P-7TYSCh-8 P-8TYSCh-8 P-9TYSCh-8 P-10TYSCh-8 P-11TYSCh-8 P-12TYSCh-8 P-13TYSCh-8 P-14TYSCh-8 P-15TYSCh-8 P-16TYSCh-8 P-17TYSCh-8 P-18TYSCh-8 P-19TYSCh-8 P-20TYSCh-8 P-21TYSCh-8 P-22TYSCh-8 P-23TYSCh-8 P-24TYS

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Finding the Projection of u onto v In Exercises 37-44, (a) find the projection of u onto v and (b) find the vec...

Calculus (MindTap Course List)

Investigation Consider the differential equation yxy=0 with the initial conditions y(0)=0andy(0)=2. Find the se...

Multivariable Calculus

For f (x) = cos (x2 + 1) we may write f(x) = (h g)(x), where: a) h(x) = cos x2 and g(x) = x +1 b) h(x) = cos x...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

True or False: , for –π ≤ t ≤ π, is smooth.

Study Guide for Stewart's Multivariable Calculus, 8th

In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Traditional statistics (means, variances, and hypothesis tests) are not used to evaluate the results from a sin...

Research Methods for the Behavioral Sciences (MindTap Course List)

The values of Alabama building contracts (in millions) for a 12-month period follow. 2403502302602803202203102...

Statistics for Business & Economics, Revised (MindTap Course List)

Determine whether the graph of each quadratic function opens upward or downward. State whether a maximum or min...

College Algebra (MindTap Course List)

The depth of an American Standard thread shown divided by 0.6495 is equal to the pitch. Compute the depth of a ...

Mathematics For Machine Technology

The San Luis Obispo Tribune (May 7, 2002) reported that a new analysis has found that in the majority of trials...

Introduction To Statistics And Data Analysis

What is the general purpose for using a simulation or a field study for experimental research?

Research Methods for the Behavioral Sciences (MindTap Course List)

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