Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Chapter 5.3, Problem 49E
To determine

To approximate: The solutions of the equation 2sin2x+3sinx=−1 in [0,2π) using a graphing utility.

Expert Solution & Answer
Check Mark

Answer to Problem 49E

  x=3.665,4.712,5.760

Explanation of Solution

Given:

  2sin2x+3sinx=−1

Calculation:

The given equation is 2sin2x+3sinx=−1

Add 1 to both sides of the equation

  2sin2x+3sinx+1=0

Graph the function y=2sin2x+3sinx+1

  Precalculus with Limits: A Graphing Approach, Chapter 5.3, Problem 49E

Use zero or root features, the x-intercepts are

  x=3.665,4.712,5.760

Therefore, the zeros of the given equations are

  x=3.665,4.712,5.760

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Chapter 5.3, Problem 48E
Next
Chapter 5.3, Problem 50E

Chapter 5 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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Find the solutions to a trig equation between 0 and 2pi; Author: Brian McLogan;https://www.youtube.com/watch?v=h7trDHjKCYc;License: Standard YouTube License, CC-BY