Question

 

Упростите выражение

Answer 1

$frac{sqrt{2}*cosalpha-2(cos45*cosalpha+sin45*sinalpha)}{2*(sin30*cosalpha+cos30*sinalpha)-sqrt{3}sinalpha}= frac{sqrt{2}*cosalpha-sqrt{2}*cosalpha-sqrt{2}*sinalpha}{cosalpha+sqrt{3}*sinalpha-sqrt{3}*sinalpha}=frac{sqrt{2}*sinalpha}{cosalpha} =sqrt{2}tgalpha$

Answer 2

(V2cosa-2cos(45-a))/(2sin(30+a)-V3sina)=(V2cosa-V2cosa-V2sina)/(cosa+V3sina-V3sina)=(V2sina)/(cosa)=V2tga

 

V - квадратный корень