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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Concept explainers

Fundamentals of Trigonometric Identities
Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.
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Question
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Chapter 5, Problem 39RE
To determine

To find all the solutions of the given equation in the interval [0,π] .

Expert Solution & Answer
Check Mark

Answer to Problem 39RE

The solution of the trigonometric equation is,

  x=π6,5π6

Explanation of Solution

Given information:

Given trigonometric identity

  2sinx−1=0

Calculation:

Isolate the equation 2sinx−1=0 for x .

  2sinx−1=02sinx=1sinx=12

Therefore, the solution of sinx=12 in the interval 0≤x≤π is x=π6,5π6 .

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Chapter 5, Problem 38RE
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Chapter 5, Problem 40RE

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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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY