0\; \; \; \to \; \; (2x-\pi )(2x-3\pi )<0\\\\znaki:\; \; \; +++(\frac{\pi }{2}})---(\frac{3\pi }{2})+++\; \; \; \; x\in (\frac{\pi }{2},\frac{3\pi }{2})\\\\cos^2x+cosx=0\\\\cosx\cdot (cosx+1)=0\\\\a)\; \; cosx=0\; ,\; \; x=\frac{\pi }{2}+\pi n\; ,\; n\in Z\\\\\left \{ {{x=\frac{\pi}{2}+\pi n\; ,\; n\in Z} \atop {x\in (\frac{\pi }{2},\frac{3\pi }{2})}} \right.\; \; \to \; \; x\in \varnothing \\\\b)\; \; cosx+1=0\; ,\; \; cosx=-1\; ,\; \; x=\pi +2\pi k\; ,\; k\in Z" alt="\frac{cos^2x+cosx}{\sqrt{(2x-\pi )(3\pi -2x)}}=0\\\\ODZ:\; (2x-\pi )(3\pi -2x)>0\; \; \; \to \; \; (2x-\pi )(2x-3\pi )<0\\\\znaki:\; \; \; +++(\frac{\pi }{2}})---(\frac{3\pi }{2})+++\; \; \; \; x\in (\frac{\pi }{2},\frac{3\pi }{2})\\\\cos^2x+cosx=0\\\\cosx\cdot (cosx+1)=0\\\\a)\; \; cosx=0\; ,\; \; x=\frac{\pi }{2}+\pi n\; ,\; n\in Z\\\\\left \{ {{x=\frac{\pi}{2}+\pi n\; ,\; n\in Z} \atop {x\in (\frac{\pi }{2},\frac{3\pi }{2})}} \right.\; \; \to \; \; x\in \varnothing \\\\b)\; \; cosx+1=0\; ,\; \; cosx=-1\; ,\; \; x=\pi +2\pi k\; ,\; k\in Z" align="absmiddle" class="latex-formula">
