Convert the polar equation to a rectangular equation?! percalc hw help?

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Answer 1 · 2018-05-16T08:00:03

D

First multiply each side by $1-sintheta$ to get:
$r-rsintheta=4/5$

$r^2=x^2+y^2$
$rsintheta=y$

$sqrt(x^2+y^2)=4/5+y$

$x^2+y^2=16/25+(8y)/5+y^2$

$x^2=16/25+(8y)/5$

$25x^2=16+40y$

$25x^2-40y-16=0$

This answer matches none of the give answers, so D.