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$sinx=cos(\frac{\pi}{3}-x)\\\\\star \; \; cos \alpha =sin(\frac{\pi}{2}-\alpha )\\\\ esli\; \; \alpha =\frac{\pi}{3}-x\; ,\; to\; \; \; cos(\frac{\pi}{3}-x)=sin( \frac{\pi }{2}-(\frac{\pi }{3}+x))=sin( \frac{\pi }{6} -x)\; \star \\\\sinx-sin( \frac{\pi }{6} -x)=0\\\\2\, sin (x-\frac{\pi }{12}) \, cos \frac{\pi}{12} =0\; \; \Rightarrow \\\\sin(x-\frac{\pi }{12})=0\; \; \Rightarrow \\\\ x-\frac{\pi }{12}=\pi n\; ,\\\\ x=\frac{\pi}{12}+\pi n\; ,n\in Z$