Sqrt(3)*sinx-tgx+tgx*sinx=sqrt(3)

Question

Sqrt(3)*sinx-tgx+tgx*sinx=sqrt(3)

Answer 1

√3sinx-tgx+tgx*sinx=√3
√3sinx-√3+tgx*sinx-tgx=0
√3(sinx-1)+tgx(sinx-1)=0
(sinx-1)(√3+tgx)=0
sinx-1=0                               √3+tgx=0
sinx=1                                    tgx=-√3
x=π/2+2πn, n∈Z                   x=-π/3+πn,n∈Z