Question

решите уравнение: sin( -x/4)= -√2/2

Answer 1

$sin(-frac{x}{4})=-frac{sqrt{2}}{2}$
$sin frac{x}{4}=frac{sqrt{2}}{2}$
$frac{x}{4}=(-1)^k*arcsin (frac{sqrt{2}}{2})+pi*k$
$frac{x}{4}=(-1)^k*frac{pi}{4}+pi*k$
$x=(-1)^k*pi+4*pi*k$
k є Z