Question

sinx/2+cosx/2=корень из 3

Answer 1

$sin dfrac{x}{2}+cos dfrac{x}{2}=sqrt3\ sqrt 2 sin left(dfrac{pi}{4}+xright)=sqrt3\ sin left(dfrac{pi}{4}+xright)=dfrac{sqrt3}{sqrt2}\ sin left(dfrac{pi}{4}+xright)=sqrt{dfrac{3}{2}}\ sqrt{dfrac{3}{2}} textgreater 1 Rightarrow x in emptyset$