jordynsmith0723
jordynsmith0723
21-04-2017
Mathematics
contestada
Solve sin^2x+cos2x-1/4=0
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Sxerks
Sxerks
21-04-2017
[tex]sin^{2}x + cos2x - \frac{1}{4} = 0[/tex]
[tex]sin^{2}x + cos^{2}x - sin^{2}x = \frac{1}{4}[/tex]
[tex]cos^{2}x = \frac{1}{4}[/tex]
[tex]cos(x) = \pm \frac{1}{2}[/tex]
[tex]x = \pm \frac{\pi}{3}[/tex]
General solutions: [tex]x = \pi(n - \frac{1}{3})[/tex] and [tex]x = \pi(n + \frac{1}{3})[/tex]
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