Question

Решите уравнения: Cos 2x + 3sin x = 1

Answer 1

$cos2x+3sinx=1 \ cos2x=1-2sin^2x \ 1-2sin^2x+3sinx=1 \ 2sin^2x-3sinx=0 \ sinx=t \ 2t^2-3t=0 \ left { {{t_1=0} atop {t_2=frac{3}{2}}} right. left { {{sinx=0} atop {sinx=frac{3}{2}}} right. left { {{x_1=pi n} atop {x_2=pi+2pi n}} right.$

,n∈Z.