A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
r = 2/(rsin(theta)) convert the given equation to a rectangular equation
anonymous
 4 years ago
r = 2/(rsin(theta)) convert the given equation to a rectangular equation

This Question is Open

ZeHanz
 4 years ago
Best ResponseYou've already chosen the best response.0The connection between polar and cartesian coordinates is:\[x=r \cos \theta\]\[y=r \sin \theta\]or\[r^2=x^2+y^2\]\[\theta=\arctan \frac{ y }{ x }\] Hint: first rewrite the equation as:\[r(r\sin \theta)=2\]then \[r^2r \sin \theta=2\]then do some substitutions... Just ask if you don't succeed!

ZeHanz
 4 years ago
Best ResponseYou've already chosen the best response.0If you substitute the values for r^2 and rsin(theta) as stated above, you get: \[x^2+y^2y=2\]This is already fine, because it is a rectangular equation. But there is one more step. Complete the square for y:\[x^2+(y\frac{ 1 }{ 2 })^2\frac{ 1 }{ 4 }=2\]Or:\[x^2+(y\frac{ 1 }{ 2 })^2=2\frac{ 1 }{ 4 }\]This is the equation of a circle with center (0, 1/2) and radius 3/2! So it is a very simple curve after all...
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.