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1 + sinx = 2cos^2x - SoftMath Algebrator - Algebra Homework Solver (689076614429)

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Hii..this can be done as follow

cos^2 x = 1 - sin^2 x--------(1)

2cos^2 x=1+ sin x
2cos^2 x - sin x -1=0
Substituting formula (1)
2(1 - sin^2 x) - sin x - 1 = 0
2sin^2 x + sin x - 1 = 0

Factor this
(2 sin x - 1)(sin x +1) = 0
2 sin x - 1 = 0 or sin x +1 = 0
sin x = 1, and sin x = -1

Posted on Jun 12, 2010


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