Question

what are the rectangular coordinates of (-4, 7pi/6)

Answer 1

\(\large \begin{array}{llll}
(&-4 &\frac{7\pi}{6})\\
&\uparrow &\uparrow \\
&r&\theta
\end{array}\qquad
\begin{array}{ccllll}
x=rcos(\theta)\qquad &y=rsin(\theta)\\ \quad \\
x=(-4)cos(\frac{7\pi}{6})&y=(-4)sin(\frac{7\pi}{6})
\end{array}\)