Answer:
[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]
Step-by-step explanation:
[tex]5sin(3x)-1=3[/tex]
[tex]5sin(3x)=4[/tex]
[tex]sin(3x)=\frac{4}{5}[/tex]
[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]
[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]