# Are there more than one way to convert Polar to Rectangular coordinates?

All Polar $\rightarrow$ Rectangular coordinate conversions are based on the definitions of $\sin$ and $\cos$:
$\textcolor{w h i t e}{\text{XXX")sin(theta)=y/rcolor(white)("XXX}} \cos \left(\theta\right) = \frac{x}{r}$
There may be many ways to visualize the conversion of Polar to Rectangular coordinates. Sometimes (depending upon the values of $r$ or $\theta$) it is easier or faster to see this conversion graphically or in some other form, but in the end it comes back to the relationship between $x , y , r , \mathmr{and} \theta$ as defined by the trigonometric functions.
(I assume here that we are dealing only with Real values of $x , y , r , \mathmr{and} \theta$).