Question

4sin (x + п\6) = 0 помогите,пожалста

Answer 1

4sin (х+п/6)=0
sin (х+п/6)=0/4
sin (х+п/4)=0
$Х x_{1}$=arcsin a+2πn n∈z
$Х x_{2}$=π-arcsin a +2πn n∈z
$Х x_{1}$ +π/6= arcsin 0+2πn n∈z
$Х x_{1}$+ π/6=π+2πn n ∈z
$Х x_{1}$=π-π/6+2πn n∈z
$Х x_{1}$=5π/6 +2 πn n ∈z
$Х x_{2}$ + π/6 = π-arcsin 0+2πn n∈z
$Х x_{2}$ + π/6= π-π+2πn n∈z
$Х x_{2}$ +π/6= 2πn n∈z
$Х x_{2}$ = -π/6 +2πn n∈z
ответ:5π/6 +2 πn;-π/6 +2πn,где n∈z