Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #3ca54

1 Answer

Feb 28, 2018

#y^2=25-10x#

Explanation:

#r=5/(1+cost)#

#r*(1+cost)=5#

#r+rcost=5#

After using #r=sqrt(x^2+y^2)# and #rcost=x# transforms,

#sqrt(x^2+y^2)+x=5#

#sqrt(x^2+y^2)=5-x#

#x^2+y^2=(5-x)^2#

#x^2+y^2=x^2-10x+25#

#y^2=25-10x#

Related questions

See all questions in Writing Polar Equations for Conic Sections

Impact of this question

1314 views around the world

You can reuse this answer
Creative Commons License