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Для начала я переведу 
в обычные градусы так легче :
![sqrt{12}*cos^275-sqrt3=sqrt{4*3}*cos^275-sqrt3=2sqrt{3}cos^275-sqrt3=\
=sqrt3(2cos^275-1)=sqrt3(2*frac{1+cos2*75}{2}-1)=sqrt3(1+cos150-1)=\
=sqrt3*cos150=sqrt3*cos(180-30)=sqrt3*(-cos 30)=\
=-sqrt3*cos30=-sqrt3*frac{sqrt3}{2}=-frac32=-1.5](https://tex.z-dn.net/?f=sqrt%7B12%7D%2Acos%5E275-sqrt3%3Dsqrt%7B4%2A3%7D%2Acos%5E275-sqrt3%3D2sqrt%7B3%7Dcos%5E275-sqrt3%3D%5C%0A%3Dsqrt3%282cos%5E275-1%29%3Dsqrt3%282%2Afrac%7B1%2Bcos2%2A75%7D%7B2%7D-1%29%3Dsqrt3%281%2Bcos150-1%29%3D%5C%0A%3Dsqrt3%2Acos150%3Dsqrt3%2Acos%28180-30%29%3Dsqrt3%2A%28-cos+30%29%3D%5C%0A%3D-sqrt3%2Acos30%3D-sqrt3%2Afrac%7Bsqrt3%7D%7B2%7D%3D-frac32%3D-1.5 "sqrt{12}*cos^275-sqrt3=sqrt{4*3}*cos^275-sqrt3=2sqrt{3}cos^275-sqrt3=\
=sqrt3(2cos^275-1)=sqrt3(2*frac{1+cos2*75}{2}-1)=sqrt3(1+cos150-1)=\
=sqrt3*cos150=sqrt3*cos(180-30)=sqrt3*(-cos 30)=\
=-sqrt3*cos30=-sqrt3*frac{sqrt3}{2}=-frac32=-1.5")
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