9sin^-1x=3pie

I used the inverse property for sin and get x=9sin3pie but am stuck from there. (Thinking)

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- Feb 12th 2010, 06:40 PMConfusedMathQuestion on trig equation
9sin^-1x=3pie

I used the inverse property for sin and get x=9sin3pie but am stuck from there. (Thinking) - Feb 13th 2010, 12:53 AMGrandad
Hello ConfusedMathYou have the $\displaystyle 9$ in the wrong place.

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

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

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

Grandad