Answer
The solution is $\underline{x=1.7303,4.8719}.$
Work Step by Step
We have to compute the value:
$\begin{align}
& \tan x=-6.2154 \\
& x={{\tan }^{-1}}\left( -6.2154 \right)
\end{align}$
We have to calculate the equation using a calculator in radian mode:
${{\tan }^{-1}}\left( +6.2154 \right)\approx 1.4113$
And the tangent value is negative in II and IV quadrants. So,
$\begin{align}
& x\approx \pi -1.4113 \\
& \approx 3.14159-1.4113 \\
& \approx 1.7303
\end{align}$
And the other value will be:
$\begin{align}
& x\approx 2\pi -1.4113 \\
& \approx 2\times 3.14159-1.4113 \\
& \approx 4.8719
\end{align}$
