What is the name of the shape graphed by the function #r =1+3 sin theta#?
2 Answers
May 13, 2017
It is called a Limacon, French for snail.
Explanation:
Limacons were studied by Pascal.
May 13, 2017
Limaçon
Explanation:
Consider the following shapes for polar graphs:
Cardiod:
#r=a+-bcostheta# and#r=a+-bsintheta#
where#a=b# Limaçon:
#r=a+-bcostheta# and#r=a+-bsintheta#
where#a!=b# Rose Curve:
#r=acos(ntheta)# and#r=asin(ntheta)#
if#n# is odd, then#n# petals
if#n# is event, then#2n# petalsLemniscate
#r^2=a^2cos(2theta)# and#r^2=a^2sin(2theta)#
Based on this list, we can determine that the given polar equation is a Limaçon
