A community for students.
Here's the question you clicked on:
 0 viewing
Babynini
 one year ago
Find two polar coordinate representations for the rectangular coordinate point
(6, 2 (sqroot3)), one with r>0, one with r<0 and both with
<thetha<2pi
Babynini
 one year ago
Find two polar coordinate representations for the rectangular coordinate point (6, 2 (sqroot3)), one with r>0, one with r<0 and both with <thetha<2pi

This Question is Closed

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0For r I already got 4 (sqroot3) and 4 (Sqroot3)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0and then tan(theta)= (2(sqroot3))/6

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0@rvc :) I know you just got on. But if you're free!

rvc
 one year ago
Best ResponseYou've already chosen the best response.0ah bit busy dear :( @JoannaBlackwelder

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0\[\tan(\theta) = \frac{ 2\sqrt{3} }{ 6 }\]

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0The tan equation looks good to me :) Can you solve for theta?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0em theta = arctan (x) but i'm not sure how to keep it not in decimal form

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0We will need to use the unit circle and the idea that tan is sin/cos

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0http://www.mathsisfun.com/geometry/unitcircle.html Look down at the very bottom chart.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0I'm not finding anywhere that tangent equals that on the unit circle. It is sq3/3 at pi/6

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Right, and 2sqrt3/6 is sqrt3/3

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0oh.. We can take the 6 and divide it by the 2 in the numerator?

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Yep, those can simplify, since they have a common factor of 2

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Do you see another one other than 11pi/6?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0so how do I know which to choose? 11pi/6 or 5pi/6 ?

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Awesome! We are looking for 2 options, so both.

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0And I don't get what you got for r. How did you get that?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Give me a moment to type that up :)

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Oh, sorry, my mistake. You're rs are correct! :)

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0As long as you can combine them correctly.

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Into two pairs.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0\[r^2=x^2+y^2\] \[r^2=6^2+(2\sqrt{3})^2\] \[r^2=36+12 = \sqrt{48}\] Simplify and get \[r=4\sqrt{3}\]

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Right, how do I know how to pair them?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0(4 sq3, 5pi/6) (4 sq3, 11pi/6) right? but i'm not sure how I got there xD or why

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Let's look at each of those graphically to see if they look like they are in the right spots.

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434646002351:dw

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0Here is a rough graph of the rectangular coordinate.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434646256752:dw

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.0No worries :)
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.