How do you convert the rectangular equation #3y-5y=8# into polar form?

1 Answer
Sep 2, 2016

#r=-4csctheta#

Explanation:

To convert from #color(blue)"rectangular to polar form"#

#color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(x=rcostheta , y=rsintheta)color(white)(a/a)|)))#

and #color(red)(|bar(ul(color(white)(a/a)color(black)(csctheta=1/(sintheta)color(white)(a/a)|)))#

#3y-5y=8rArr-2y=8#

#rArr-2(color(red)(rsintheta))=8rArr-2rsintheta=8#

#rArrr=(8)/(-2sintheta)=(-4)/(sintheta)=-4csctheta#