1-2 ▪ We can use identities to help us solve trigonometric equations. 1. Using a Pythagorean identity we see that the equation sin x + sin'x + cos'x = 1 is equivalent to the basic equation whose solutions are x = 2. Using a Double-Angle Formula we see that the equation sin x + sin 2r = 0 is equivalent to the equation . Factoring, we see that solving this equation is equivalent to solving the two basic equations . and

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.5: More Trigonometric Equations
Problem 2E
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1-2 ▪ We can use identities to help us solve trigonometric
equations.
1. Using a Pythagorean identity we see that the equation
sin x + sin'x + cos'x = 1 is equivalent to the basic equation
whose solutions are x =
2. Using a Double-Angle Formula we see that the equation
sin x + sin 2r = 0 is equivalent to the equation .
Factoring, we see that solving this equation is equivalent to
solving the two basic equations .
and
Transcribed Image Text:1-2 ▪ We can use identities to help us solve trigonometric equations. 1. Using a Pythagorean identity we see that the equation sin x + sin'x + cos'x = 1 is equivalent to the basic equation whose solutions are x = 2. Using a Double-Angle Formula we see that the equation sin x + sin 2r = 0 is equivalent to the equation . Factoring, we see that solving this equation is equivalent to solving the two basic equations . and
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