# Trig equations

• April 22nd 2013, 06:39 AM
Paze
Trig equations
So I'm wondering. When I have an equation like:

$2\sin x=0.766$ can I divide 0.766 by 2 and take the arcsine of 0.383 to find my x? My friend claims that you cannot divide by 2 for some reason and my text books sort of states the same...Which is algebraically wrong..
• April 22nd 2013, 06:52 AM
Prove It
Re: Trig equations
Your method is fine. Of course you will need to try to get all the solutions in the unit circle and all multiples of \displaystyle \begin{align*} 2\pi \end{align*} added to them...
• April 22nd 2013, 07:01 AM
Paze
Re: Trig equations
Yes. I found out my friend was confusing sin(2x)=... with 2*sinx and as he claimed our text book preferred his method I got scared for a second...

Thanks!