Question

............
ctg(п/2+х)-1/√3=0

Answer 1

$ctg( frac{ pi }{2}+x)- frac{1}{ sqrt{3} }=0$

$-tgx- frac{1}{ sqrt{3} } =0$

$-tgx= frac{1}{ sqrt{3} }$

$tgx=- frac{1}{ sqrt{3} }$

$x=arctg(- frac{1}{ sqrt{3} } )+ pi k,$ k∈Z

$x=-arctg frac{1}{ sqrt{3} }+ pi k,$ k∈Z

$x=- frac{ pi }{6}+pi k,$ k∈Z