Lindsay solved the equation sin x = 1 - cos x by squaring each side to obtain sin2 x = 1 - 2 cos x + cos2 x. Several steps later, using correct algebra, she concluded that the solution set for solu- tions over the interval 30, 2p2 is E 0, p 2 , 3p 2 F. Explain why this is not correct.
Lindsay solved the equation sin x = 1 - cos x by squaring each side to obtain sin2 x = 1 - 2 cos x + cos2 x. Several steps later, using correct algebra, she concluded that the solution set for solu- tions over the interval 30, 2p2 is E 0, p 2 , 3p 2 F. Explain why this is not correct.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Lindsay solved the equation sin x = 1 - cos x by squaring each
side to obtain
sin2 x = 1 - 2 cos x + cos2 x.
Several steps later, using correct algebra, she concluded that the solution set for solu-
tions over the interval 30, 2p2 is E 0, p
2 ,
3p
2 F. Explain why this is not correct.
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