danielletilly34 danielletilly34
  • 15-02-2017
  • Mathematics
contestada

4 sin ^ 2 x- 4 sin x + 1 = 0

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LammettHash
LammettHash LammettHash
  • 15-02-2017
[tex]4\sin^2x-4\sin x+1=(2\sin x-1)^2=0\implies \sin x=\dfrac12[/tex]

This happens for [tex]x=\dfrac\pi6+2n\pi[/tex] and [tex]x=\dfrac{5\pi}6+2n\pi[/tex] where [tex]n[/tex] is any integer.
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