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.