Question

The polar coordinates of a certain point are $(r=4.30cm,\theta ={214}^0)$. (a) Find its Cartesian coordinates $x$ and $y$. Find the polar coordinates of the points with Cartesian coordinates (b) $(-x,y)$, (c) $(-2x,-2y)$, and (d) $(3x,-3y)$.

Answer 1

For polar coordinates $(r,\theta )$, the Cartesian coordinates are $(x=r\cos \theta ,y=r\sin \theta )$, if the angle is measured relative to the $+x$ axis.