\( 2cos^2(x-\frac{3\pi}{2})-sin(x-\pi)=0 \)
\( 2sin^2x+sinx=0 \)
\( sinx(2sinx+1)=0 \)
\( x=\pi n \)
\( x=(-1)^{n+1}\frac{\pi}{6}+\pi n \)
\( 2cos^2(x-\frac{3\pi}{2})-sin(x-\pi)=0 \)
\( 2sin^2x+sinx=0 \)
\( sinx(2sinx+1)=0 \)
\( x=\pi n \)
\( x=(-1)^{n+1}\frac{\pi}{6}+\pi n \)