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Если я верно понял условие:
<span> sin (x/2-Пи/6)+1=0 </span>
<span>sin (x/2-Пи/6)=-1 </span>
<span>x/2+π/6=-π/2+2πn </span>
<span>x/2=-π/2-π/6+2πn </span>
<span>x/2=-2π/3+2πn </span>
<span>x=-4π/3+4πn </span>