We can use identities to help us solve trigonometric equations.
1. Using a Pythagorean identity we see that the equation sin x + sin2x + cos2x = 1 is equivalent to the basic equation __________ whose solutions are x = _____.
To fill: The blanks in the statement “Using a Pythagorean identity we see that the equation
Answer to Problem 1E
The complete statement is “Using a Pythagorean identity we see that the equation
Explanation of Solution
Consider the given function
Solve the above equation as follows.
Therefore, the basic equation is
Now, find the solutions of
Therefore, the solutions are
Chapter 7 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
Calculus & Its Applications (14th Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning