0\\.................................................................................." alt="1)\; \; tg\frac{\pi (x+2)}{3}=-\sqrt3\\\\\frac{\pi (x+2)}{3}=-\frac{\pi }{3}+\pi n\; ,\; n\in Z\\\\x+2=-1+3n\; ,\; n\in Z\\\\x=-3+3n\; ,\; n\in Z\\\\n=0:\; x=-3<0\\\\n=-1:\; x=-6<0\\\\n=1:\; x=0\\\\n=2:\; x=3>0\\.................................................................................." align="absmiddle" class="latex-formula">
Наибольший отрицательный корень х= -3 .
0\; \; ;\; \; x_2=-13,5<0\\\\n=-1:\; \; x_1=-5\; \; ;\; \; x_2=-19,5\\\\n=1:\; \; x_1=7>0\; \; ;\; \; x_2=-7,5<0\\............................................................................" alt="2)\; \; sin\frac{\pi (2x-3)}{6}=-0,5\\\\\frac{\pi (2x-3)}{6}=-\frac{\pi }{6}+2\pi n\; \; \; \; \; ili\; \; \; \; \frac{\pi (2x-3)}{6}=-\frac{5\pi }{6}+2\pi n\; ,\; n\in Z\\\\2x-3=-1+12n\; \; \; ili\; \; \; 2x-3=-30+12n\; ,\; n\in Z\\\\2x=2+12n\qquad ili\qquad 2x=-27+12n\; ,\; n\in Z\\\\x_1=1+6n\qquad ili\qquad x_2=-13,5+6n\; ,\; n\in Z\\\\n=0:\; \; x_1=1>0\; \; ;\; \; x_2=-13,5<0\\\\n=-1:\; \; x_1=-5\; \; ;\; \; x_2=-19,5\\\\n=1:\; \; x_1=7>0\; \; ;\; \; x_2=-7,5<0\\............................................................................" align="absmiddle" class="latex-formula">
Наименьший положительный корень х=1.