Question

Решите уравнение : -sin (x+Pi/6)=1

Answer 1

$-sin(x+frac{pi}{6})=1\\sin(x+frac{pi}{6})=-1\\x+frac{pi}{6}=frac{3pi}{2} +2pi,;;kin mathbb Z\\boxed {x=frac{4pi}{3} +2kpi,;;k in mathbb Z}$