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

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1 Answer
May 16, 2018

D

Explanation:

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.