Ctg ( arcsin x/4 )=корень3

[latex] -1 \leq \frac{x}{4} \leq 1[/latex] [latex]-\frac{\pi}{2} \leq arcsin \frac{x}{4} \leq \frac{\pi}{2}[/latex] [latex]ctg arcsin \frac{x}{4}=\sqrt{3}[/latex] [latex]arcsin \frac{x}{4}=\frac{\pi}{6}[/latex] [latex]\frac{x}{4}=sin \frac{\pi}{6}[/latex] [latex]\frac{x}{4}=\frac{1}{2}[/latex] [latex]x=4*1:2=2[/latex] [latex]x=2[/latex] ответ: 2