Answer
The rectangular coordinates of $\left( 7.4,2.5 \right)$ are $\left( -5.9,4.4 \right)$.
Work Step by Step
The rectangular coordinates of the point are $\left( x,y \right)$.
Now, rewrite the rectangular coordinates in terms of the polar coordinates:
$x=r\cos \theta \ \text{ and }\ y=r\sin \theta $ …… (1)
Substituting the values of $r\ \text{ and }\ \theta $ in (1) we get,
$\begin{align}
& x=7.4\cos 2.5 \\
& \approx 7.4\left( -0.80 \right) \\
& \approx -5.9
\end{align}$
$\begin{align}
& y=7.4\sin 2.5 \\
& \approx 7.4\left( 0.60 \right) \\
& \approx 4.4
\end{align}$
Therefore, the rectangular coordinates of $\left( 7.4,2.5 \right)$ are $\left( -5.9,4.4 \right)$.
