Question

sin( x/3+ $pi$/4)=-1

Answer 1

$sin(frac{x}{3}+frac{pi}{4})=-1\\frac{x}{3}+frac{pi}{4}=-frac{pi}{2}+2pi n\\frac{x}{3}=-frac{3pi}{4}+2pi n\\x=-frac{9pi}{4}+6pi n,; nin Z$