Question

sin x/6 = 1/2

Answer 1

$sin frac{x}{6}= frac{1}{2}$

$frac{x}{6}=(-1)^karcsin frac{1}{2}+ pi k,$  $k$ ∈ $Z$

$frac{x}{6}=(-1)^k frac{ pi }{6}+ pi k,$  $k$ ∈ $Z$

${x}=(-1)^k pi }+ 6pi k,$  $k$ ∈ $Z$