Answer
Fill the blanks with
a.
... $ r\cos\theta$ ... $ r\sin\theta$
b.
... $x^{2}+y^{2}$ ... $\displaystyle \frac{y}{x}$
Work Step by Step
See p. 790.
From polar to rectangular coordinates:
$ x=r\cos\theta$ and $ y=r\sin\theta$.
From rectangular to polar coordinates:
$r^{2}=x^{2}+y^{2}$ and $\displaystyle \tan\theta=\frac{y}{x}$.
Fill the blanks with
a.
... $ r\cos\theta$ ... $ r\sin\theta$
b.
... $x^{2}+y^{2}$ ... $\displaystyle \frac{y}{x}$
