Question

Solve on the interval [0, 2pi)

sin3x=0

Answer 1

\(\sin(3x)=0\) gives a few choices for \(3x\)
for example since \(\sin(0)=0\) then \(3x=0\) or \(x=0\) is one solution

Answer 2

another is \(\sin(\pi)=0\) and so \(3x=\pi\) making \(x=\frac{\pi}{3}\)

Answer 3

there are others
for example \(\sin(2\pi)=0\) making \(3x=2\pi\) ...

Answer 4

Ah, I understand it now. I can't believe I didn't get it at first. Thank you for helping out!

Answer 5

yeah i figured once you saw it you would see that it is easy.
first solve for \(3x\) and then for \(x\)
often the \(ax\) throws people off
yw