Explanation Given information: Consider the trigonometric equation sin 2 θ + sin 3 θ = 0 Calculation: The below figure illustrates the angles θ 1 and θ 2 . If θ 2 = − θ 1 or θ 2 = θ 1 + π then the angles θ 1 and θ 2 satisfies the equation sin θ 2 = − sin θ 1 . The above figure illustrates this result. Since the since function is periodic with period 2 π , sin θ 2 = − sin θ 1 ⇔ θ 2 = − θ 1 + 2 π k . Or θ 2 = θ 1 + π + 2 π k here, k is any integer. Take θ 2 = 3 θ and θ 1 = 2 θ sin 2 θ + sin 3 θ = 0 sin 3 θ = − sin 2 θ

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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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 1.4, Problem 43E

To determine

To calculate:

The points lie on the intersection of the horizontal line y=c and the graph of y=sinx for 0≤x<2π.

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Chapter 1.4, Problem 42E

Chapter 1.4, Problem 44E

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Chapter 1 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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The points lie on the intersection of the horizontal line y = c and the graph of y = sin x for 0 ≤ x < 2 π .

Solution Summary: The author illustrates the six solutions of the given trigonometric equation on the interval left[0,2pi].

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To calculate:

The points lie on the intersection of the horizontal line y=c and the graph of y=sinx for 0≤x<2π.

Want to see the full answer?

Chapter 1 Solutions

The points lie on the intersection of the horizontal line y = c and the graph of y = sin x for 0 ≤ x &lt; 2 π .

Solution Summary: The author illustrates the six solutions of the given trigonometric equation on the interval left[0,2pi].

Concept explainers

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To calculate: The points lie on the intersection of the horizontal line y=c and the graph of y=sinx for 0≤x<2π.

Want to see the full answer?

Chapter 1 Solutions

The points lie on the intersection of the horizontal line y = c and the graph of y = sin x for 0 ≤ x < 2 π .

To calculate:

The points lie on the intersection of the horizontal line y=c and the graph of y=sinx for 0≤x<2π.