(EESCUSP-1969) Trigonometria
Enviado: 07 Out 2016, 22:08
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[tex3]4sen^3x-sen\ x=0\rightarrow \\\\\rightarrow sen\ x(4sen^2x-1)=0\rightarrow \begin{cases}
sen\ x=0 \ (I)\\
sen\ x=\pm \frac{1}{2}\ (II)
\end{cases}\\\\(I)\ sen\ x=0\rightarrow S_1=(0,\pi,2\pi)\\\\(II)\ sen\ x=\pm \frac{1}{2}\rightarrow S_2=\left(\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}\right)\\\\\boxed {S=\left(0,\frac{\pi}{6},\pi,\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6},2\pi\right)}[/tex3]