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CalculusCalculus: An Applied Approach (MindTap Course List)Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3, y = 1 2 csc 2 x

Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3, y = 1 2 csc 2 x

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919
BuyFind

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919

Solutions

Problem 1CP
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Chapter 8.4, Problem 10E
Textbook Problem

Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3,

y  =  1 2  csc 2 x

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Chapter 8.4,
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Chapter 8.4,
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Chapter 8 Solutions

Calculus: An Applied Approach (MindTap Course List)
Ch. 8.1 - For each angle, find a coterminal angle such that...Ch. 8.1 - Convert each degree measure to radian measure. a....Ch. 8.1 - Convert each radian measure to degree measure. a....Ch. 8.1 - Find the area of an isosceles right triangle with...Ch. 8.1 - In Exercises 1 and 2, find the area of the...Ch. 8.1 - In Exercises 1 and 2, find the area of the...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 36, let a and b represent the lengths...
Ch. 8.1 - In Exercises 36, let a and b represent the lengths...Ch. 8.1 - In Exercises 710, show that the points form the...Ch. 8.1 - In Exercises 710, show that the points form the...Ch. 8.1 - In Exercises 710, show that the points form the...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Coterminal Angles In Exercises 1-6,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Finding Conterminal Angles In Exercise 7-10,...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Degrees to radians In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Converting from Radians to Degrees In Exercises...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing triangles In Exercises 33-40, solve the...Ch. 8.1 - Analyzing Triangles In Exercises 33-40, solve the...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Finding the Area of an Equilateral Triangle In...Ch. 8.1 - Height A person 6 feet tall standing 16 feet from...Ch. 8.1 - Length A guy wire is stretched from a broadcasting...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Arc Length In Exercises 47-50, use the following...Ch. 8.1 - Speed of Revolution A Blu-ray disc can have an...Ch. 8.1 - How do you see it? 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Assume 02. a. cos=22...Ch. 8.2 - Solve the equation for . sin2+sin=0,02Ch. 8.2 - In Exercises 1-4, simplify the expression. 72+242Ch. 8.2 - In Exercises 1-4, simplify the expression....Ch. 8.2 - In Exercises 1-4, simplify the expression. 6222Ch. 8.2 - In Exercises 1-4, simplify the expression. 9232Ch. 8.2 - In Exercises 5-8, convert the degree measure to...Ch. 8.2 - In Exercises 5-8, convert the degree measure to...Ch. 8.2 - In Exercises 5-8, convert the degree measure to...Ch. 8.2 - In Exercises 5-8, convert the degree measure to...Ch. 8.2 - In Exercises 9-12, solve the equation. x2x=0Ch. 8.2 - In Exercises 9-12, solve the equation. 2x2+x=0Ch. 8.2 - In Exercises 9-12, solve the equation. x22x=3Ch. 8.2 - In Exercises 9-12, solve the equation. x25x=6Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Determining a Quadrant In Exercises 13-18,...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Evaluating Trigonometric Functions In Exercises...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Right Triangle In Exercises 43-48, solve...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - Solving a Trigonometric Equation In Exercises...Ch. 8.2 - 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Find...Ch. 8.2 - Height of a Mountain In traveling across flat...Ch. 8.2 - HOW DO YOU SEE IT? Consider an angle in standard...Ch. 8.2 - Medicine The temperature T (in degrees Fahrenheit)...Ch. 8.2 - Sales A company that produces a window and door...Ch. 8.2 - Using the Value of a Trigonometric Function In...Ch. 8.2 - Using the Value of a Trigonometric Function In...Ch. 8.2 - True or False? In Exercises 85-88, determine...Ch. 8.2 - True or False? In Exercises 85-88, determine...Ch. 8.2 - True or False? In Exercises 85-88, determine...Ch. 8.2 - True or False? In Exercises 85-88, determine...Ch. 8.3 - Sketch the graph of g(x)=2cosx.Ch. 8.3 - Sketch the graph of g(x)=2sin4x.Ch. 8.3 - Sketch the graph of g(x)=tan4x.Ch. 8.3 - Evaluate the function f(x)=1cosxx at several...Ch. 8.3 - Checkpoint 5 Worked-out solution available at...Ch. 8.3 - Checkpoint 6 Worked-out solution available at...Ch. 8.3 - In Exercises 1 and 2, find the limit....Ch. 8.3 - In Exercises 1 and 2, find the limit....Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 3-10, evaluate the trigonometric...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - In Exercises 11-18, use a calculator to evaluate...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period and Amplitude In Exercises...Ch. 8.3 - Finding the Period In Exercises 15-20, find the...Ch. 8.3 - Finding the Period In Exercises 15-20, find the...Ch. 8.3 - Finding the Period In Exercises 15-20, find the...Ch. 8.3 - Finding the Period In Exercises 15-20, find the...Ch. 8.3 - Finding the Period In Exercises 15-20, find the...Ch. 8.3 - Finding the Period In Exercises 15-20, find the...Ch. 8.3 - Matching In Exercises 21-26, match the...Ch. 8.3 - Matching In Exercises 21-26, match the...Ch. 8.3 - Matching In Exercises 21-26, match the...Ch. 8.3 - Matching In Exercises 21-26, match the...Ch. 8.3 - Matching In Exercises 21-26, match the...Ch. 8.3 - Matching In Exercises 21-26, match the...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Graphing a Trigonometric Function In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Evaluating a Trigonometric Limit In Exercises...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Graphical Reasoning In Exercises 63-66, find a and...Ch. 8.3 - Phase Shift In Exercises 67-70, match the function...Ch. 8.3 - Phase Shift In Exercises 6770, match the function...Ch. 8.3 - Phase Shift In Exercises 6770, match the function...Ch. 8.3 - Phase Shift In Exercises 6770, match the function...Ch. 8.3 - Writing an Equation In Exercises 71 and 72, write...Ch. 8.3 - Writing an Equation In Exercises 71 and 72, write...Ch. 8.3 - Biology: Predator-Prey Cycle The population P of a...Ch. 8.3 - Biology: Predator-Prey Cycle The population P of a...Ch. 8.3 - Music When tuning a piano, a technician strikes a...Ch. 8.3 - Health The function P=10020cos5t3 approximates the...Ch. 8.3 - Health For a person at rest, the velocity v (in...Ch. 8.3 - Health After a person exercises for a few minutes,...Ch. 8.3 - Transportation Workers The number W (in thousands)...Ch. 8.3 - Sales The snowmobile sales 5 (in units) at a...Ch. 8.3 - Physics Use the graphs below to answer each...Ch. 8.3 - Think About It Consider the function given by...Ch. 8.3 - Think About It Consider the functions given by...Ch. 8.3 - HOW DO YOU SEE IT? The normal monthly high...Ch. 8.3 - True or False? In Exercises 8588, determine...Ch. 8.3 - True or False? In Exercises 85-88, determine...Ch. 8.3 - True or False? In Exercises 85-88, determine...Ch. 8.3 - True or False? In Exercises 85-88, determine...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 14, convert the degree measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 58, convert the radian measure to...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 914, evaluate the trigonometric...Ch. 8.3 - In Exercises 15-17, solve the equation for ....Ch. 8.3 - In Exercises 15-17, solve the equation for ....Ch. 8.3 - In Exercises 15-17, solve the equation for ....Ch. 8.3 - In Exercises 18-20, solve the triangle for the...Ch. 8.3 - In Exercises 18-20, solve the triangle for the...Ch. 8.3 - In Exercises 1820, solve the triangle for the...Ch. 8.3 - A map maker needs to determine the distance d...Ch. 8.3 - In Exercises 22-24, (a) find the period of the...Ch. 8.3 - In Exercises 22-24, (a) find the period of the...Ch. 8.3 - In Exercises 22-24, (a) find the period of the...Ch. 8.3 - A company that produces snowboards forecasts...Ch. 8.4 - Differentiate each function. a. y=cos4x b....Ch. 8.4 - Differentiate each function. a. f(x)=2cosx3 b....Ch. 8.4 - Differentiate each function. a. y=sec4x b. y=cotx2Ch. 8.4 - Differentiate each function. a. f(x)=cos2x b....Ch. 8.4 - Differentiate each function. a. y=x2cosx b....Ch. 8.4 - Find the relative extrema of y=x2cosx in the...Ch. 8.4 - Find the relative extrema of y=12sin2x+cosx on the...Ch. 8.4 - Using the model from Example 8, find the rate at...Ch. 8.4 - Checkpoint 9 Worked-out solution available at...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 1-4, find the derivative of the...Ch. 8.4 - In Exercises 5 and 6, find all relative extrema of...Ch. 8.4 - In Exercises 5 and 6, find all relative extrema of...Ch. 8.4 - In Exercises 7-10, solve the equation for x....Ch. 8.4 - In Exercises 7-10, solve the equation for x....Ch. 8.4 - In Exercises 7-10, solve the equation for x....Ch. 8.4 - In Exercises 710, solve the equation for x. 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Transportation Workers The number W (In thousands)...Ch. 8.5 - Cost The temperature T (in degrees Fahrenheit) in...Ch. 8.5 - Water Supply The flow rate R (in thousands of...Ch. 8.5 - Sales In Example 8 in Section 8.4, the sales of a...Ch. 8.5 - HOW DO YOU SEE IT? 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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Problems 324 fill in the blanks or answer true or false. 11. L{tsin2t} = _____

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

In Exercises 31-38. do the following. a. Perform the given computation, working solely in the given base. b. Ch...

Mathematics: A Practical Odyssey

In 20-38 determine whether the statement is true or false. Justify your answer with a proof or a counterexarnpl...

Discrete Mathematics With Applications

Estimating Setup Time. Sherry is a production manager for a small manufacturing shop and is interested in devel...

Essentials Of Statistics For Business & Economics

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U...

Introductory Statistics

For the following exercises, graph the equations and shade the area of the region between the curves. Determine...

Calculus Volume 2

In the following exercises, use the following graphs and the limits laws to evaluate each limit. y=f(x) y=g(x...

Calculus Volume 1

Long Division of Polynomials In Exercises 11-24, use long division to divide. (x5+7)(x41)

College Algebra

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