0 \end{cases} \\ log_{14}(-sin\ x)=0 \end{matrix}\right. <=> \left[ \begin{matrix} \begin{cases} 4cos^2x-4cos\ x-3=0 \\ sin\ x<0 \end{cases} \\ \begin{cases} sin\ x=-1 \\ sin\ x<0 \end{cases} \end{matrix}\right. <=>" alt="\left[ \begin{matrix} \begin{cases} 4cos^2x-4cos\ x-3=0 \\ -sin\ x>0 \end{cases} \\ log_{14}(-sin\ x)=0 \end{matrix}\right. <=> \left[ \begin{matrix} \begin{cases} 4cos^2x-4cos\ x-3=0 \\ sin\ x<0 \end{cases} \\ \begin{cases} sin\ x=-1 \\ sin\ x<0 \end{cases} \end{matrix}\right. <=>" align="absmiddle" class="latex-formula">
\begin{cases} sin\ x<0 \\ \left[ \begin{matrix} cos\ x=-0,5 \\ sin\ x=-1 \end{matrix}\right \end{cases}. <=>" alt=" \left[ \begin{matrix} \begin{cases} \left[ \begin{matrix} cos\ x=-0,5\\ cos\ x=1,5 \end{matrix}\right \\ sin\ x<0 \end{cases} \\ sin\ x=-1 \end{matrix}\right. => \begin{cases} sin\ x<0 \\ \left[ \begin{matrix} cos\ x=-0,5 \\ sin\ x=-1 \end{matrix}\right \end{cases}. <=>" align="absmiddle" class="latex-formula">
\left[ \begin{matrix} x=-\frac{2\pi}{3}+2\pi k \\ x=-\frac{\pi}{2}+2\pi n \end{matrix}\right\\
Ombem:\ -\frac{2\pi}{3}+2\pi k;\ -\frac{\pi}{2}+2\pi n; k,n \in Z" alt="\begin{cases} sin\ x<0 \\ \left[ \begin{matrix} x=\pm \frac{2\pi}{3}+2\pi k \\ x=-\frac{\pi}{2}+2\pi n \end{matrix}\right \end{cases} =>\left[ \begin{matrix} x=-\frac{2\pi}{3}+2\pi k \\ x=-\frac{\pi}{2}+2\pi n \end{matrix}\right\\
Ombem:\ -\frac{2\pi}{3}+2\pi k;\ -\frac{\pi}{2}+2\pi n; k,n \in Z" align="absmiddle" class="latex-formula">