Solve for $x$
\[
3 \sin ^{-1} x=\frac{\pi}{6}
\]

Answer

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Answer

Final Answer: $\boxed{0.17364817766693033}$

Steps

Step 1 ：The given equation is $3 \sin ^{-1} x=\frac{\pi}{6}$.

Step 2 ：To solve for $x$, we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by 3, which will give us $\sin ^{-1} x=\frac{\pi}{18}$.

Step 3 ：Then, we can take the sine of both sides to get $x=\sin\left(\frac{\pi}{18}\right)$.

Step 4 ：After calculating, we find that $x = 0.17364817766693033$.

Step 5 ：Final Answer: $\boxed{0.17364817766693033}$

Solve for $x$\[3 \sin ^{-1} x=\frac{\pi}{6}\]

Answer

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Solve for $x$
\[
3 \sin ^{-1} x=\frac{\pi}{6}
\]