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Math Help - Trig equations

  1. #1
    Senior Member Paze's Avatar
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    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..
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  2. #2
    MHF Contributor
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    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...
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  3. #3
    Senior Member Paze's Avatar
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    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!
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