Question

2tg(2π-x)+ctg(x-3π/2)=√3

Answer 1

По формулам приведения :

$2{rm tg}(2pi -x)+{rm ctg}(x-frac{3pi}{2})=sqrt{3}\ \ -2{rm tg}, x+{rm tg}, x=sqrt{3}\ \ {rm tg}, x=-sqrt{3}\ \ x=-frac{pi}{3}+pi n,n in mathbb{Z}$