
Trig equations
So I'm wondering. When I have an equation like:
$\displaystyle 2\sin x=0.766$ 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..

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 $\displaystyle \displaystyle \begin{align*} 2\pi \end{align*}$ added to them...

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!