Solve the following trigonometric equation:
$\tan (x+\pi)+2 \sin (x+\pi)=0$
Hint: AFTER you use the sum formulas and simplify as much as you can, you will want to break tangent down into sine and cosine.
$\begin{array}{l}
x=\square \\
x=\square \\
x=\square \\
x=\square
\end{array}$
$\tan (x+\pi)+2 \sin (x+\pi)=0$
Hint: AFTER you use the sum formulas and simplify as much as you can, you will want to break tangent down into sine and cosine.
$\begin{array}{l}
x=\square \\
x=\square \\
x=\square \\
x=\square
\end{array}$