21 Июн

Тд 3BL / 3BL 4 * соз / 4 + КТГ (-pi / 6) * Грех пи / 6

<p>Tg 3пи/4*cos 3пи/4+ctg(-пи/6)*sin пи/6</p>
<ul>
<li>=tg(П/2+П/4)*cos(П/2+П/4)-cos(П/6)*sin(П/6)/sin(П/6)=-ctg(П/4)(-sin(П/4)—cos(П/6)=cosП/4-cosП/6=(2-3)/2</li>
<li><img src="https://tex.z-dn.net/?f=tg+%5Cfrac%7B3+%5Cpi+%7D%7B4%7D%2Acos+%5Cfrac%7B3+%5Cpi+%7D%7B4%7D%2Bctg%28-+%5Cfrac%7B+%5Cpi+%7D%7B6%7D+%29%2Asin+%5Cfrac%7B+%5Cpi+%7D%7B6%7D+%3Dtg%28+%5Cpi+-+%5Cfrac%7B+%5Cpi+%7D%7B4%7D%29%2Acos%28+%5Cpi+-+%5Cfrac%7B+%5Cpi+%7D%7B4%7D%29-ctg%5Cfrac%7B+%5Cpi+%7D%7B6%7D%2Asin+%5Cfrac%7B+%5Cpi+%7D%7B6%7D%3D" id="TexFormula1" onerror="texError(this)" title="tg frac{3 pi }{4}*cos frac{3 pi }{4}+ctg(- frac{ pi }{6} )*sin frac{ pi }{6} =tg( pi — frac{ pi }{4})*cos( pi — frac{ pi }{4})-ctgfrac{ pi }{6}*sin frac{ pi }{6}=" alt="tg frac{3 pi }{4}*cos frac{3 pi }{4}+ctg(- frac{ pi }{6} )*sin frac{ pi }{6} =tg( pi — frac{ pi }{4})*cos( pi — frac{ pi }{4})-ctgfrac{ pi }{6}*sin frac{ pi }{6}=" align="absmiddle" class="latex-formula"><img src="https://tex.z-dn.net/?f=%3D-tg+%5Cfrac%7B+%5Cpi+%7D%7B4%7D%2A%28-cos+%5Cfrac%7B+%5Cpi+%7D%7B4%7D%29-ctg%5Cfrac%7B+%5Cpi+%7D%7B6%7D%2Asin+%5Cfrac%7B+%5Cpi+%7D%7B6%7D+%3D-1%2A%28-+%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B2%7D+%29-+%5Csqrt%7B3%7D+%2A+%5Cfrac%7B1%7D%7B2%7D%3D+%5Cfrac%7B+%5Csqrt%7B2%7D+%7D%7B2%7D+-+%5Cfrac%7B+%5Csqrt%7B3%7D+%7D%7B2%7D%3D+" id="TexFormula2" onerror="texError(this)" title="=-tg frac{ pi }{4}*(-cos frac{ pi }{4})-ctgfrac{ pi }{6}*sin frac{ pi }{6} =-1*(- frac{ sqrt{2} }{2} )- sqrt{3} * frac{1}{2}= frac{ sqrt{2} }{2} — frac{ sqrt{3} }{2}= " alt="=-tg frac{ pi }{4}*(-cos frac{ pi }{4})-ctgfrac{ pi }{6}*sin frac{ pi }{6} =-1*(- frac{ sqrt{2} }{2} )- sqrt{3} * frac{1}{2}= frac{ sqrt{2} }{2} — frac{ sqrt{3} }{2}= " align="absmiddle" class="latex-formula"><img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B+%5Csqrt%7B2%7D-+%5Csqrt%7B3%7D++%7D%7B2%7D+++" id="TexFormula3" onerror="texError(this)" title="=frac{ sqrt{2}- sqrt{3} }{2} " alt="=frac{ sqrt{2}- sqrt{3} }{2} " align="absmiddle" class="latex-formula"></li>
</ul>

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