5sinx tgx-sinx-5tgx+1=0

Question

5sinx tgx-sinx-5tgx+1=0

Comments

5sinx*tgx

Answer 1

5sinxtgx-sinx-5tgx+1=0
sinx(5tgx-1)-1(5tgx-1)=0
(5tgx-1)(sinx-1)=0
5tgx-1=0    или           sinx-1=0
tgx=1/5                        sinx=1
x=arctg(1/5)+πk,k∈z    x=π/2+2πk,k∈z