Answer
The solution on the interval $[0,2\pi )$, correct to four decimal places, is $0.8319$ or $2.3097$.
Work Step by Step
We have to calculate the equation using a calculator in radian mode:
$\theta =\text{si}{{\text{n}}^{-1}}0.7392\approx 0.8319.$
Therefore, the sine is positive in quadrants I and II,
$x\approx 0.8319\ $
or
$x\approx \pi -0.8319$
And the value of $\pi $ is 3.14159. Hence, the value of $x$ is:
$\begin{align}
& x\approx 3.14159-0.8319 \\
& \approx 2.3097.
\end{align}$
