Question

решите уравнение
2sin (x+П/2)+ корень из 2=0

Answer 1

$2sin (x+frac{pi}{2}) + sqrt2 = 0\\sin (x+frac{pi}{2}) = -frac{sqrt2}{2}\\cos x = -frac{sqrt2}{2}\\x = pm, arccos(-frac{sqrt2}{2}) + 2pi n,; n in mathbb{Z}\\x = pm, frac{3pi}{4} + 2pi n, ; nin mathbb{Z}$