Explanation Given: Given f ( x ) = sin x Formula Used: We have an identity as sin ( a + b ) = sin a cos b + cos a sin b Calculation: We have f ( x + h ) − f ( x ) h = sin x ( cos h − 1 h ) + cos x ( sin h h ) And f ( x ) = sin x Thus, f ( x + h ) = sin ( x + h ) Let us take the left hand side of the equation f ( x + h ) − f ( x ) h f ( x + h ) − f ( x ) h = sin ( x + h ) − sin ( x ) h f ( x + h ) − f ( x ) h = ( sin x cos h + cos x sin h ) − sin ( x )

College Algebra and Trigonometry (4th Edition)

4th Edition

ISBN: 9780134696478

Author: J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek

Publisher: PEARSON

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 6.2, Problem 95E

To determine

Let f(x)=sinx. Show that f(x+h)−f(x)h=sinx(cosh−1h)+cosx(sinhh).

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Chapter 6.2, Problem 94E

Chapter 6.2, Problem 96E

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Chapter 6 Solutions

College Algebra and Trigonometry (4th Edition)

Ch. 6.1 - An equation that is true for all values of the...Ch. 6.1 - Prob. 2E Ch. 6.1 - sin2x+=1;1+=sec2x;csc2xcot2x=.Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

Ch. 6.1 - Ifcot=12and32,findcsc.Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Iftanx=12andx32,findcscx.Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - In Exercises 25—30, prose that the given equation...Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - In Exercises 31—76, verify each identity....Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - In Exercises 31—76, verify each identity....Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.1 - Prob. 57E Ch. 6.1 - Prob. 58E Ch. 6.1 - Prob. 59E Ch. 6.1 - Prob. 60E Ch. 6.1 - Prob. 61E Ch. 6.1 - Prob. 62E Ch. 6.1 - Prob. 63E Ch. 6.1 - Prob. 64E Ch. 6.1 - In Exercises 31—76, verify each identity....Ch. 6.1 - Prob. 66E Ch. 6.1 - Prob. 67E Ch. 6.1 - Prob. 68E Ch. 6.1 - Prob. 69E Ch. 6.1 - Prob. 70E Ch. 6.1 - Prob. 71E Ch. 6.1 - Prob. 72E Ch. 6.1 - Prob. 73E Ch. 6.1 - Prob. 74E Ch. 6.1 - Prob. 75E Ch. 6.1 - Prob. 76E Ch. 6.1 - Prob. 77E Ch. 6.1 - Prob. 78E Ch. 6.1 - Prob. 79E Ch. 6.1 - Prob. 80E Ch. 6.1 - Prob. 81E Ch. 6.1 - Prob. 82E Ch. 6.1 - Prob. 83E Ch. 6.1 - Prob. 84E Ch. 6.1 - Prob. 85E Ch. 6.1 - Prob. 86E Ch. 6.1 - Prob. 87E Ch. 6.1 - Prob. 88E Ch. 6.1 - Prob. 89E Ch. 6.1 - Prob. 90E Ch. 6.1 - Prob. 91E Ch. 6.1 - Prob. 92E Ch. 6.1 - Prob. 93E Ch. 6.1 - Prob. 94E Ch. 6.1 - Prob. 95E Ch. 6.1 - Prob. 96E Ch. 6.1 - Prob. 97E Ch. 6.1 - Prob. 98E Ch. 6.1 - Prob. 99E Ch. 6.1 - Tower height.The angles to the top of a tower...Ch. 6.1 - Prob. 101E Ch. 6.1 - Prob. 102E Ch. 6.1 - Prob. 103E Ch. 6.1 - Prob. 104E Ch. 6.1 - Prob. 105E Ch. 6.1 - Prob. 106E Ch. 6.1 - Prob. 107E Ch. 6.1 - Prob. 108E Ch. 6.1 - Prob. 109E Ch. 6.1 - Prob. 110E Ch. 6.1 - Prob. 111E Ch. 6.1 - Prob. 112E Ch. 6.1 - Prob. 113E Ch. 6.1 - Prob. 114E Ch. 6.1 - Prob. 115E Ch. 6.1 - Prob. 116E Ch. 6.1 - Prob. 117E Ch. 6.1 - Prob. 118E Ch. 6.1 - Prob. 119E Ch. 6.1 - Prob. 120E Ch. 6.1 - Prob. 121E Ch. 6.1 - Prob. 122E Ch. 6.1 - Prob. 123E Ch. 6.1 - Prob. 124E Ch. 6.1 - Prob. 125E Ch. 6.1 - Prob. 126E Ch. 6.1 - Prob. 127E Ch. 6.1 - Prob. 128E Ch. 6.1 - Prob. 129E Ch. 6.1 - Prob. 130E Ch. 6.1 - Prob. 131E Ch. 6.1 - Prob. 132E Ch. 6.1 - Prob. 133E Ch. 6.1 - Prob. 134E Ch. 6.1 - Prob. 135E Ch. 6.1 - Prob. 136E Ch. 6.1 - Prob. 137E Ch. 6.1 - Prob. 138E Ch. 6.1 - Prob. 139E Ch. 6.1 - Prob. 140E Ch. 6.1 - Prob. 141E Ch. 6.1 - Prob. 142E Ch. 6.2 - Prob. 1E Ch. 6.2 - Prob. 2E Ch. 6.2 - Prob. 3E Ch. 6.2 - Prob. 4E Ch. 6.2 - Prob. 5E Ch. 6.2 - Prob. 6E Ch. 6.2 - Prob. 7E Ch. 6.2 - Prob. 8E Ch. 6.2 - In Exercises 9—28, find the exact value of each...Ch. 6.2 - Prob. 10E Ch. 6.2 - Prob. 11E Ch. 6.2 - Prob. 12E Ch. 6.2 - Prob. 13E Ch. 6.2 - In Exercises 9—28, find the exact value of each...Ch. 6.2 - Prob. 15E Ch. 6.2 - In Exercises 9—28, find the exact value of each...Ch. 6.2 - Prob. 17E Ch. 6.2 - Prob. 18E Ch. 6.2 - Prob. 19E Ch. 6.2 - Prob. 20E Ch. 6.2 - Prob. 21E Ch. 6.2 - Prob. 22E Ch. 6.2 - Prob. 23E Ch. 6.2 - Prob. 24E Ch. 6.2 - In Exercises 9—28, find the exact value of each...Ch. 6.2 - Prob. 26E Ch. 6.2 - In Exercises 9—28, find the exact value of each...Ch. 6.2 - Prob. 28E Ch. 6.2 - Prob. 29E Ch. 6.2 - Prob. 30E Ch. 6.2 - Prob. 31E Ch. 6.2 - Prob. 32E Ch. 6.2 - Prob. 33E Ch. 6.2 - In Exercises 29-42, verify each...Ch. 6.2 - Prob. 35E Ch. 6.2 - Prob. 36E Ch. 6.2 - Prob. 37E Ch. 6.2 - Prob. 38E Ch. 6.2 - Prob. 39E Ch. 6.2 - Prob. 40E Ch. 6.2 - Prob. 41E Ch. 6.2 - Prob. 42E Ch. 6.2 - In Exercises 43-52, find the exact value of each...Ch. 6.2 - Prob. 44E Ch. 6.2 - In Exercises 43-52, find the exact value of each...Ch. 6.2 - In Exercises 43-52, find the exact value of each...Ch. 6.2 - Prob. 47E Ch. 6.2 - Prob. 48E Ch. 6.2 - Prob. 49E Ch. 6.2 - Prob. 50E Ch. 6.2 - Prob. 51E Ch. 6.2 - Prob. 52E Ch. 6.2 - Prob. 53E Ch. 6.2 - Prob. 54E Ch. 6.2 - Prob. 55E Ch. 6.2 - Prob. 56E Ch. 6.2 - Prob. 57E Ch. 6.2 - Prob. 58E Ch. 6.2 - Prob. 59E Ch. 6.2 - Prob. 60E Ch. 6.2 - Prob. 61E Ch. 6.2 - Prob. 62E Ch. 6.2 - Prob. 63E Ch. 6.2 - In Exercises 59—64, find the exact value of each...Ch. 6.2 - Prob. 65E Ch. 6.2 - Prob. 66E Ch. 6.2 - Prob. 67E Ch. 6.2 - Prob. 68E Ch. 6.2 - Prob. 69E Ch. 6.2 - Prob. 70E Ch. 6.2 - Prob. 71E Ch. 6.2 - Prob. 72E Ch. 6.2 - Prob. 73E Ch. 6.2 - Prob. 74E Ch. 6.2 - Prob. 75E Ch. 6.2 - Prob. 76E Ch. 6.2 - Prob. 77E Ch. 6.2 - Prob. 78E Ch. 6.2 - Prob. 79E Ch. 6.2 - Prob. 80E Ch. 6.2 - Prob. 81E Ch. 6.2 - Prob. 82E Ch. 6.2 - Prob. 83E Ch. 6.2 - Prob. 84E Ch. 6.2 - Prob. 85E Ch. 6.2 - Prob. 86E Ch. 6.2 - Prob. 87E Ch. 6.2 - Prob. 88E Ch. 6.2 - Prob. 89E Ch. 6.2 - Prob. 90E Ch. 6.2 - Prob. 91E Ch. 6.2 - Prob. 92E Ch. 6.2 - Prob. 93E Ch. 6.2 - Prob. 94E Ch. 6.2 - Prob. 95E Ch. 6.2 - Prob. 96E Ch. 6.2 - Prob. 97E Ch. 6.2 - Prob. 98E Ch. 6.2 - Prob. 99E Ch. 6.2 - Prob. 100E Ch. 6.2 - Prob. 101E Ch. 6.2 - Prob. 102E Ch. 6.2 - Prob. 103E Ch. 6.2 - Prob. 104E Ch. 6.2 - Prob. 105E Ch. 6.2 - Prob. 106E Ch. 6.2 - Prob. 107E Ch. 6.2 - Prob. 108E Ch. 6.2 - Prob. 109E Ch. 6.2 - Prob. 110E Ch. 6.2 - Prob. 111E Ch. 6.2 - Prob. 112E Ch. 6.2 - Prob. 113E Ch. 6.2 - Prob. 114E Ch. 6.2 - Prob. 115E Ch. 6.2 - Prob. 116E Ch. 6.2 - Prob. 117E Ch. 6.2 - Prob. 118E Ch. 6.2 - Prob. 119E Ch. 6.2 - Prob. 120E Ch. 6.2 - Prob. 121E Ch. 6.2 - Showthattan70tan20=2tan50 Ch. 6.2 - Prob. 123E Ch. 6.2 - Prob. 124E Ch. 6.2 - Prob. 125E Ch. 6.2 - Prob. 126E Ch. 6.2 - Prob. 127E Ch. 6.2 - Prob. 128E Ch. 6.2 - Prob. 129E Ch. 6.2 - Prob. 130E Ch. 6.2 - Prob. 131E Ch. 6.2 - Prob. 132E Ch. 6.2 - Prob. 133E Ch. 6.2 - Prob. 134E Ch. 6.3 - Prob. 1E Ch. 6.3 - Prob. 2E Ch. 6.3 - Prob. 3E Ch. 6.3 - Prob. 4E Ch. 6.3 - Prob. 5E Ch. 6.3 - Prob. 6E Ch. 6.3 - Prob. 7E Ch. 6.3 - Prob. 8E Ch. 6.3 - Prob. 9E Ch. 6.3 - Prob. 10E Ch. 6.3 - Prob. 11E Ch. 6.3 - Prob. 12E Ch. 6.3 - Prob. 13E Ch. 6.3 - Prob. 14E Ch. 6.3 - Prob. 15E Ch. 6.3 - Prob. 16E Ch. 6.3 - Prob. 17E Ch. 6.3 - Prob. 18E Ch. 6.3 - Prob. 19E Ch. 6.3 - Prob. 20E Ch. 6.3 - Prob. 21E Ch. 6.3 - Prob. 22E Ch. 6.3 - Prob. 23E Ch. 6.3 - Prob. 24E Ch. 6.3 - Prob. 25E Ch. 6.3 - In Exerciscs 25 and 26, vrify each...Ch. 6.3 - Prob. 27E Ch. 6.3 - Prob. 28E Ch. 6.3 - Prob. 29E Ch. 6.3 - Prob. 30E Ch. 6.3 - Prob. 31E Ch. 6.3 - Prob. 32E Ch. 6.3 - Prob. 33E Ch. 6.3 - Prob. 34E Ch. 6.3 - Prob. 35E Ch. 6.3 - Prob. 36E Ch. 6.3 - Prob. 37E Ch. 6.3 - Prob. 38E Ch. 6.3 - Prob. 39E Ch. 6.3 - Prob. 40E Ch. 6.3 - Prob. 41E Ch. 6.3 - Prob. 42E Ch. 6.3 - Prob. 43E Ch. 6.3 - Prob. 44E Ch. 6.3 - Prob. 45E Ch. 6.3 - Prob. 46E Ch. 6.3 - In Exercises 41—50, use the power-reducing...Ch. 6.3 - In Exercises 41—50, use the power-reducing...Ch. 6.3 - Prob. 49E Ch. 6.3 - Prob. 50E Ch. 6.3 - Prob. 51E Ch. 6.3 - Prob. 52E Ch. 6.3 - In Exercises 51—62, use half-angle formulas to...Ch. 6.3 - Prob. 54E Ch. 6.3 - Prob. 55E Ch. 6.3 - Prob. 56E Ch. 6.3 - Prob. 57E Ch. 6.3 - Prob. 58E Ch. 6.3 - Prob. 59E Ch. 6.3 - Prob. 60E Ch. 6.3 - Prob. 61E Ch. 6.3 - Prob. 62E Ch. 6.3 - Prob. 63E Ch. 6.3 - Prob. 64E Ch. 6.3 - Prob. 65E Ch. 6.3 - Prob. 66E Ch. 6.3 - Prob. 67E Ch. 6.3 - Prob. 68E Ch. 6.3 - Prob. 69E Ch. 6.3 - Prob. 70E Ch. 6.3 - Prob. 71E Ch. 6.3 - Prob. 72E Ch. 6.3 - Prob. 73E Ch. 6.3 - Prob. 74E Ch. 6.3 - Prob. 75E Ch. 6.3 - Prob. 76E Ch. 6.3 - Prob. 77E Ch. 6.3 - Prob. 78E Ch. 6.3 - Prob. 79E Ch. 6.3 - Prob. 80E Ch. 6.3 - Prob. 81E Ch. 6.3 - Prob. 82E Ch. 6.3 - Prob. 83E Ch. 6.3 - Prob. 84E Ch. 6.3 - Prob. 85E Ch. 6.3 - Prob. 86E Ch. 6.3 - Prob. 87E Ch. 6.3 - Area. (a) Show that the area A of a rectangle...Ch. 6.3 - Prob. 89E Ch. 6.3 - Prob. 90E Ch. 6.3 - Prob. 91E Ch. 6.3 - Prob. 92E Ch. 6.3 - Prob. 93E Ch. 6.3 - Prob. 94E Ch. 6.3 - Prob. 95E Ch. 6.3 - Prob. 96E Ch. 6.3 - Prob. 97E Ch. 6.3 - Prob. 98E Ch. 6.3 - Prob. 99E Ch. 6.3 - Prob. 100E Ch. 6.3 - Prob. 101E Ch. 6.3 - Prob. 102E Ch. 6.3 - Prob. 103E Ch. 6.3 - Prob. 104E Ch. 6.3 - Prob. 105E Ch. 6.3 - Prob. 106E Ch. 6.3 - Prob. 107E Ch. 6.3 - Prob. 108E Ch. 6.3 - Prob. 109E Ch. 6.3 - Prob. 110E Ch. 6.3 - Prob. 111E Ch. 6.3 - Prob. 112E Ch. 6.3 - Prob. 113E Ch. 6.3 - Prob. 114E Ch. 6.3 - Prob. 115E Ch. 6.3 - Prob. 116E Ch. 6.3 - Prob. 117E Ch. 6.3 - Prob. 118E Ch. 6.3 - Prob. 119E Ch. 6.3 - Prob. 120E Ch. 6.3 - Prob. 121E Ch. 6.3 - Prob. 122E Ch. 6.3 - Prob. 123E Ch. 6.3 - Prob. 124E Ch. 6.3 - Prob. 125E Ch. 6.3 - Prob. 126E Ch. 6.3 - Prob. 127E Ch. 6.3 - Prob. 128E Ch. 6.3 - Prob. 129E Ch. 6.3 - Prob. 130E Ch. 6.3 - Prob. 131E Ch. 6.3 - Prob. 132E Ch. 6.3 - Prob. 133E Ch. 6.3 - Prob. 134E Ch. 6.4 - We can rewrite the product of two sines as a...Ch. 6.4 - Prob. 2E Ch. 6.4 - Prob. 3E Ch. 6.4 - Prob. 4E Ch. 6.4 - Prob. 5E Ch. 6.4 - Prob. 6E Ch. 6.4 - Prob. 7E Ch. 6.4 - Prob. 8E Ch. 6.4 - Prob. 9E Ch. 6.4 - In Exercises 9—24, use the product-to-sum formulas...Ch. 6.4 - Prob. 11E Ch. 6.4 - In Exercises 9—24, use the product-to-sum formulas...Ch. 6.4 - Prob. 13E Ch. 6.4 - Prob. 14E Ch. 6.4 - Prob. 15E Ch. 6.4 - Prob. 16E Ch. 6.4 - Prob. 17E Ch. 6.4 - Prob. 18E Ch. 6.4 - Prob. 19E Ch. 6.4 - Prob. 20E Ch. 6.4 - Prob. 21E Ch. 6.4 - Prob. 22E Ch. 6.4 - Prob. 23E Ch. 6.4 - Prob. 24E Ch. 6.4 - Prob. 25E Ch. 6.4 - In Exercises 59—64, find the exact value of each...Ch. 6.4 - Prob. 27E Ch. 6.4 - Prob. 28E Ch. 6.4 - Prob. 29E Ch. 6.4 - Prob. 30E Ch. 6.4 - Prob. 31E Ch. 6.4 - Prob. 32E Ch. 6.4 - Prob. 33E Ch. 6.4 - Prob. 34E Ch. 6.4 - Prob. 35E Ch. 6.4 - Prob. 36E Ch. 6.4 - Prob. 37E Ch. 6.4 - Prob. 38E Ch. 6.4 - Prob. 39E Ch. 6.4 - Prob. 40E Ch. 6.4 - Prob. 41E Ch. 6.4 - In Exercises 33—52, use sum-to-product formulas to...Ch. 6.4 - In Exercises 33—52, use sum-to-product formulas to...Ch. 6.4 - Prob. 44E Ch. 6.4 - Prob. 45E Ch. 6.4 - Prob. 46E Ch. 6.4 - Prob. 47E Ch. 6.4 - Prob. 48E Ch. 6.4 - Prob. 49E Ch. 6.4 - Prob. 50E Ch. 6.4 - Prob. 51E Ch. 6.4 - Prob. 52E Ch. 6.4 - Prob. 53E Ch. 6.4 - Prob. 54E Ch. 6.4 - Prob. 55E Ch. 6.4 - Prob. 56E Ch. 6.4 - Prob. 57E Ch. 6.4 - Prob. 58E Ch. 6.4 - Prob. 59E Ch. 6.4 - Prob. 60E Ch. 6.4 - Prob. 61E Ch. 6.4 - Prob. 62E Ch. 6.4 - Prob. 63E Ch. 6.4 - Prob. 64E Ch. 6.4 - Prob. 65E Ch. 6.4 - Prob. 66E Ch. 6.4 - Prob. 67E Ch. 6.4 - Prob. 68E Ch. 6.4 - Prob. 69E Ch. 6.4 - Prob. 70E Ch. 6.4 - Prob. 71E Ch. 6.4 - Prob. 72E Ch. 6.4 - Prob. 73E Ch. 6.4 - Prob. 74E Ch. 6.4 - Prob. 75E Ch. 6.4 - Prob. 76E Ch. 6.4 - Prob. 77E Ch. 6.4 - Prob. 78E Ch. 6.4 - Prob. 79E Ch. 6.4 - Prob. 80E Ch. 6.4 - Prob. 81E Ch. 6.4 - Prob. 82E Ch. 6.4 - Prob. 83E Ch. 6.4 - Prob. 84E Ch. 6.4 - Prob. 85E Ch. 6.4 - Prob. 86E Ch. 6.4 - Prob. 87E Ch. 6.4 - Prob. 88E Ch. 6.4 - Prob. 89E Ch. 6.4 - Prob. 90E Ch. 6.4 - Prob. 91E Ch. 6.4 - Prob. 92E Ch. 6.4 - Prob. 93E Ch. 6.4 - Prob. 94E Ch. 6.4 - Prob. 95E Ch. 6.4 - Prob. 96E Ch. 6.4 - Prob. 97E Ch. 6.4 - Prob. 98E Ch. 6.4 - Prob. 99E Ch. 6.4 - Prob. 100E Ch. 6.4 - Prob. 101E Ch. 6.4 - Prob. 102E Ch. 6.4 - Prob. 103E Ch. 6.4 - Prob. 104E Ch. 6.4 - Prob. 105E Ch. 6.4 - Prob. 106E Ch. 6.4 - Prob. 107E Ch. 6.4 - Prob. 108E Ch. 6.4 - Prob. 109E Ch. 6.4 - Prob. 110E Ch. 6.4 - Prob. 111E Ch. 6.4 - Prob. 112E Ch. 6.4 - Prob. 113E Ch. 6.4 - Prob. 114E Ch. 6.5 - The equation sinx=12 has ______________...Ch. 6.5 - All solutions of sin x=12 are given by...Ch. 6.5 - The equation cos x = 1 has ______________...Ch. 6.5 - Prob. 4E Ch. 6.5 - Prob. 5E Ch. 6.5 - Prob. 6E Ch. 6.5 - Prob. 7E Ch. 6.5 - Prob. 8E Ch. 6.5 - Prob. 9E Ch. 6.5 - Prob. 10E Ch. 6.5 - Prob. 11E Ch. 6.5 - Prob. 12E Ch. 6.5 - Prob. 13E Ch. 6.5 - Prob. 14E Ch. 6.5 - Prob. 15E Ch. 6.5 - Prob. 16E Ch. 6.5 - Prob. 17E Ch. 6.5 - Prob. 18E Ch. 6.5 - Prob. 19E Ch. 6.5 - Prob. 20E Ch. 6.5 - Prob. 21E Ch. 6.5 - Prob. 22E Ch. 6.5 - Prob. 23E Ch. 6.5 - Prob. 24E Ch. 6.5 - Prob. 25E Ch. 6.5 - Prob. 26E Ch. 6.5 - Prob. 27E Ch. 6.5 - Prob. 28E Ch. 6.5 - Prob. 29E Ch. 6.5 - Prob. 30E Ch. 6.5 - Prob. 31E Ch. 6.5 - Prob. 32E Ch. 6.5 - Prob. 33E Ch. 6.5 - Prob. 34E Ch. 6.5 - Prob. 35E Ch. 6.5 - Prob. 36E Ch. 6.5 - Prob. 37E Ch. 6.5 - Prob. 38E Ch. 6.5 - Prob. 39E Ch. 6.5 - Prob. 40E Ch. 6.5 - Prob. 41E Ch. 6.5 - Prob. 42E Ch. 6.5 - Prob. 43E Ch. 6.5 - Prob. 44E Ch. 6.5 - Prob. 45E Ch. 6.5 - Prob. 46E Ch. 6.5 - Prob. 47E Ch. 6.5 - Prob. 48E Ch. 6.5 - Prob. 49E Ch. 6.5 - Prob. 50E Ch. 6.5 - Prob. 51E Ch. 6.5 - Prob. 52E Ch. 6.5 - In Exercises 49—56, find all solutions of each...Ch. 6.5 - Prob. 54E Ch. 6.5 - Prob. 55E Ch. 6.5 - Prob. 56E Ch. 6.5 - Prob. 57E Ch. 6.5 - Prob. 58E Ch. 6.5 - Prob. 59E Ch. 6.5 - Prob. 60E Ch. 6.5 - Prob. 61E Ch. 6.5 - Prob. 62E Ch. 6.5 - Prob. 63E Ch. 6.5 - Prob. 64E Ch. 6.5 - Prob. 65E Ch. 6.5 - Prob. 66E Ch. 6.5 - Prob. 67E Ch. 6.5 - Prob. 68E Ch. 6.5 - Prob. 69E Ch. 6.5 - Prob. 70E Ch. 6.5 - Prob. 71E Ch. 6.5 - Prob. 72E Ch. 6.5 - Prob. 73E Ch. 6.5 - Prob. 74E Ch. 6.5 - Prob. 75E Ch. 6.5 - Prob. 76E Ch. 6.5 - Prob. 77E Ch. 6.5 - Prob. 78E Ch. 6.5 - Prob. 79E Ch. 6.5 - Prob. 80E Ch. 6.5 - Prob. 81E Ch. 6.5 - Prob. 82E Ch. 6.5 - In Exercises 79—86, rewrite each equation in the...Ch. 6.5 - Prob. 84E Ch. 6.5 - Prob. 85E Ch. 6.5 - Prob. 86E Ch. 6.5 - Prob. 87E Ch. 6.5 - Leaning Tower of Pisa. The Leaning Tower of Pisa...Ch. 6.5 - Returning spacecraft. When a spacecraft reenters...Ch. 6.5 - Prob. 90E Ch. 6.5 - Prob. 91E Ch. 6.5 - Prob. 92E Ch. 6.5 - Prob. 93E Ch. 6.5 - Prob. 94E Ch. 6.5 - Prob. 95E Ch. 6.5 - Prob. 96E Ch. 6.5 - Prob. 97E Ch. 6.5 - Prob. 98E Ch. 6.5 - Prob. 99E Ch. 6.5 - Prob. 100E Ch. 6.5 - Prob. 101E Ch. 6.5 - Prob. 102E Ch. 6.5 - Prob. 103E Ch. 6.5 - In Exercises 101—105, find all solutions of each...Ch. 6.5 - Prob. 105E Ch. 6.5 - Prob. 106E Ch. 6.5 - Prob. 107E Ch. 6.5 - Prob. 108E Ch. 6.5 - Prob. 109E Ch. 6.5 - Prob. 110E Ch. 6.5 - Prob. 111E Ch. 6.5 - Prob. 112E Ch. 6.5 - Prob. 113E Ch. 6.5 - Prob. 114E Ch. 6.5 - Prob. 115E Ch. 6.5 - Prob. 116E Ch. 6.6 - Prob. 1E Ch. 6.6 - Prob. 2E Ch. 6.6 - Prob. 3E Ch. 6.6 - Prob. 4E Ch. 6.6 - Prob. 5E Ch. 6.6 - Prob. 6E Ch. 6.6 - Prob. 7E Ch. 6.6 - Prob. 8E Ch. 6.6 - Prob. 9E Ch. 6.6 - Prob. 10E Ch. 6.6 - Prob. 11E Ch. 6.6 - Prob. 12E Ch. 6.6 - Prob. 13E Ch. 6.6 - Prob. 14E Ch. 6.6 - Prob. 15E Ch. 6.6 - Prob. 16E Ch. 6.6 - Prob. 17E Ch. 6.6 - Prob. 18E Ch. 6.6 - Prob. 19E Ch. 6.6 - Prob. 20E Ch. 6.6 - Prob. 21E Ch. 6.6 - Prob. 22E Ch. 6.6 - Prob. 23E Ch. 6.6 - Prob. 24E Ch. 6.6 - Prob. 25E Ch. 6.6 - Prob. 26E Ch. 6.6 - Prob. 27E Ch. 6.6 - Prob. 28E Ch. 6.6 - Prob. 29E Ch. 6.6 - Prob. 30E Ch. 6.6 - Prob. 31E Ch. 6.6 - Prob. 32E Ch. 6.6 - Prob. 33E Ch. 6.6 - Prob. 34E Ch. 6.6 - Prob. 35E Ch. 6.6 - Prob. 36E Ch. 6.6 - Prob. 37E Ch. 6.6 - Prob. 38E Ch. 6.6 - Prob. 39E Ch. 6.6 - Prob. 40E Ch. 6.6 - Prob. 41E Ch. 6.6 - Prob. 42E Ch. 6.6 - In Exercises 39—50, solve each equation for in the...Ch. 6.6 - In Exercises 39—50, solve each equation for in the...Ch. 6.6 - In Exercises 39—50, solve each equation for in the...Ch. 6.6 - Prob. 46E Ch. 6.6 - Prob. 47E Ch. 6.6 - Prob. 48E Ch. 6.6 - Prob. 49E Ch. 6.6 - Prob. 50E Ch. 6.6 - Prob. 51E Ch. 6.6 - Prob. 52E Ch. 6.6 - Prob. 53E Ch. 6.6 - Prob. 54E Ch. 6.6 - Prob. 55E Ch. 6.6 - Prob. 56E Ch. 6.6 - Prob. 57E Ch. 6.6 - In Exercises 51—58, solve each equation by using...Ch. 6.6 - Prob. 59E Ch. 6.6 - Prob. 60E Ch. 6.6 - Prob. 61E Ch. 6.6 - Prob. 62E Ch. 6.6 - Prob. 63E Ch. 6.6 - Prob. 64E Ch. 6.6 - Prob. 65E Ch. 6.6 - Prob. 66E Ch. 6.6 - Prob. 67E Ch. 6.6 - Prob. 68E Ch. 6.6 - Prob. 69E Ch. 6.6 - Prob. 70E Ch. 6.6 - Prob. 71E Ch. 6.6 - Prob. 72E Ch. 6.6 - Prob. 73E Ch. 6.6 - Prob. 74E Ch. 6.6 - Prob. 75E Ch. 6.6 - Prob. 76E Ch. 6.6 - Prob. 77E Ch. 6.6 - Prob. 78E Ch. 6.6 - Prob. 79E Ch. 6.6 - In Exercises 75—88, find all solutions of each...Ch. 6.6 - Prob. 81E Ch. 6.6 - Prob. 82E Ch. 6.6 - Prob. 83E Ch. 6.6 - Prob. 84E Ch. 6.6 - Prob. 85E Ch. 6.6 - Prob. 86E Ch. 6.6 - Prob. 87E Ch. 6.6 - Prob. 88E Ch. 6.6 - Prob. 89E Ch. 6.6 - Prob. 90E Ch. 6.6 - Prob. 91E Ch. 6.6 - Prob. 92E Ch. 6.6 - Prob. 93E Ch. 6.6 - Prob. 94E Ch. 6.6 - Prob. 95E Ch. 6.6 - Prob. 96E Ch. 6.6 - Prob. 97E Ch. 6.6 - Prob. 98E Ch. 6.6 - Prob. 99E Ch. 6.6 - Prob. 100E Ch. 6.6 - Prob. 101E Ch. 6.6 - Prob. 102E Ch. 6.6 - Prob. 103E Ch. 6.6 - Prob. 104E Ch. 6 - Prob. 1RE Ch. 6 - Prob. 2RE Ch. 6 - Prob. 3RE Ch. 6 - Prob. 4RE Ch. 6 - Prob. 5RE Ch. 6 - Prob. 6RE Ch. 6 - Prob. 7RE Ch. 6 - Prob. 8RE Ch. 6 - Prob. 9RE Ch. 6 - Prob. 10RE Ch. 6 - Prob. 11RE Ch. 6 - Prob. 12RE Ch. 6 - Prob. 13RE Ch. 6 - Prob. 14RE Ch. 6 - Prob. 15RE Ch. 6 - Prob. 16RE Ch. 6 - Prob. 17RE Ch. 6 - Prob. 18RE Ch. 6 - Prob. 19RE Ch. 6 - Prob. 20RE Ch. 6 - Prob. 21RE Ch. 6 - Prob. 22RE Ch. 6 - Prob. 23RE Ch. 6 - Prob. 24RE Ch. 6 - Prob. 25RE Ch. 6 - Prob. 26RE Ch. 6 - Prob. 27RE Ch. 6 - Prob. 28RE Ch. 6 - Prob. 29RE Ch. 6 - Prob. 30RE Ch. 6 - Prob. 31RE Ch. 6 - Prob. 32RE Ch. 6 - Prob. 33RE Ch. 6 - Prob. 34RE Ch. 6 - Prob. 35RE Ch. 6 - Prob. 36RE Ch. 6 - Prob. 37RE Ch. 6 - Prob. 38RE Ch. 6 - Prob. 39RE Ch. 6 - Prob. 40RE Ch. 6 - Prob. 41RE Ch. 6 - Prob. 42RE Ch. 6 - Prob. 43RE Ch. 6 - Prob. 44RE Ch. 6 - Prob. 45RE Ch. 6 - Prob. 46RE Ch. 6 - In Exercises 33—50, verify each identity....Ch. 6 - Prob. 48RE Ch. 6 - Prob. 49RE Ch. 6 - Prob. 50RE Ch. 6 - Prob. 51RE Ch. 6 - Prob. 52RE Ch. 6 - Prob. 53RE Ch. 6 - Prob. 54RE Ch. 6 - Prob. 55RE Ch. 6 - Prob. 56RE Ch. 6 - Prob. 57RE Ch. 6 - Prob. 58RE Ch. 6 - Prob. 59RE Ch. 6 - Prob. 60RE Ch. 6 - Prob. 61RE Ch. 6 - Prob. 62RE Ch. 6 - Prob. 63RE Ch. 6 - Prob. 64RE Ch. 6 - Prob. 65RE Ch. 6 - Prob. 66RE Ch. 6 - Prob. 67RE Ch. 6 - The rabbit population of an area is described by...Ch. 6 - The voltage from an alternating current generator...Ch. 6 - Prob. 70RE Ch. 6 - Prob. 71RE Ch. 6 - Prob. 1PTA Ch. 6 - Prob. 2PTA Ch. 6 - Prob. 3PTA Ch. 6 - Prob. 4PTA Ch. 6 - Prob. 5PTA Ch. 6 - Prob. 6PTA Ch. 6 - Prob. 7PTA Ch. 6 - Prob. 8PTA Ch. 6 - Prob. 9PTA Ch. 6 - Prob. 10PTA Ch. 6 - Prob. 11PTA Ch. 6 - Prob. 12PTA Ch. 6 - Prob. 13PTA Ch. 6 - Prob. 14PTA Ch. 6 - Prob. 15PTA Ch. 6 - Prob. 16PTA Ch. 6 - Prob. 17PTA Ch. 6 - Prob. 18PTA Ch. 6 - Prob. 19PTA Ch. 6 - Prob. 20PTA Ch. 6 - Prob. 1PTB Ch. 6 - Which expression is equal to...Ch. 6 - Prob. 3PTB Ch. 6 - Prob. 4PTB Ch. 6 - Prob. 5PTB Ch. 6 - Prob. 6PTB Ch. 6 - Prob. 7PTB Ch. 6 - Prob. 8PTB Ch. 6 - Prob. 9PTB Ch. 6 - Prob. 10PTB Ch. 6 - Prob. 11PTB Ch. 6 - Prob. 12PTB Ch. 6 - In Problems 13 and 14, find the exact value of...Ch. 6 - Prob. 14PTB Ch. 6 - Prob. 15PTB Ch. 6 - Prob. 16PTB Ch. 6 - Prob. 17PTB Ch. 6 - Prob. 18PTB Ch. 6 - Prob. 19PTB Ch. 6 - Prob. 20PTB Ch. 6 - Prob. 1CRE Ch. 6 - Prob. 2CRE Ch. 6 - Prob. 3CRE Ch. 6 - Prob. 4CRE Ch. 6 - Prob. 5CRE Ch. 6 - Prob. 6CRE Ch. 6 - Prob. 7CRE Ch. 6 - Prob. 8CRE Ch. 6 - Prob. 9CRE Ch. 6 - Prob. 10CRE Ch. 6 - Prob. 11CRE Ch. 6 - Prob. 12CRE Ch. 6 - Prob. 13CRE Ch. 6 - Prob. 14CRE Ch. 6 - Prob. 15CRE Ch. 6 - Prob. 16CRE Ch. 6 - Prob. 17CRE Ch. 6 - Prob. 18CRE Ch. 6 - Prob. 19CRE Ch. 6 - Prob. 20CRE

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Let f ( x ) = sin x . Show that f ( x + h ) − f ( x ) h = sin x ( cos h − 1 h ) + cos x ( sin h h ) .

Solution Summary: The author explains that f(x+h)=mathrmsinx is the left hand side of the equation.

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Let f(x)=sinx. Show that f(x+h)−f(x)h=sinx(cosh−1h)+cosx(sinhh).

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Chapter 6 Solutions