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Math Help - Question on trig equation

  1. #1
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    Question on trig equation

    9sin^-1x=3pie

    I used the inverse property for sin and get x=9sin3pie but am stuck from there.
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  2. #2
    MHF Contributor
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    Hello ConfusedMath
    Quote Originally Posted by ConfusedMath View Post
    9sin^-1x=3pie

    I used the inverse property for sin and get x=9sin3pie but am stuck from there.
    You have the 9 in the wrong place.

    9\sin^{-1}(x) = 3\pi

    \Rightarrow \sin^{-1}(x) = \frac{3\pi}{9}=\frac{\pi}3

    \Rightarrow x = \sin\left(\frac{\pi}3\right)=\frac{\sqrt3}{2}

    Grandad
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