Question

$tg ( frac{x}{3} - frac{p}{6} ) = frac{ sqrt{3} }{3}$

Answer 1

$tg( frac{x}{3}- frac{ pi }{6} )= frac{ sqrt{3}}{3}$
$frac{x}{3}- frac{ pi }{6}= frac{ pi }{6}+ pi k$
$frac{x}{3}= frac{ pi }{6}+ frac{ pi }{6}+ pi k$
$frac{x}{3}= frac{ pi }{3}+ pi k$
$x= frac{3 pi }{3}+3 pi k$
$x= pi +3 pi k$ , k∈Z