My Math Forum  

Go Back   My Math Forum > High School Math Forum > Geometry

Geometry Geometry Math Forum


Reply
 
LinkBack Thread Tools Display Modes
January 30th, 2015, 11:34 AM   #1
Senior Member
 
BonaviaFx's Avatar
 
Joined: Dec 2014
From: Canada

Posts: 110
Thanks: 4

Polar Coordinate Problem

Find the Cartesian equation of:

$\displaystyle \frac{2}{r} = 1+cos θ $

And

$\displaystyle θ=\frac{π}{4} $
BonaviaFx is offline  
 
January 30th, 2015, 12:23 PM   #2
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,623
Thanks: 1303

Quote:
Originally Posted by BonaviaFx View Post
Find the Cartesian equation of:

$\displaystyle \frac{2}{r} = 1+cos θ $

And

$\displaystyle θ=\frac{π}{4} $
$\displaystyle r \cdot \frac{2}{r} = r(1+cos{\theta}) $

$\displaystyle 2 = r + r\cos{\theta}$

$\displaystyle 2 = \sqrt{x^2+y^2} + x$

------------------------------------------------------------

$\displaystyle \theta = \frac{\pi}{4}$

$\displaystyle \tan{\theta} = 1$

$\displaystyle \frac{y}{x} = 1$

$\displaystyle y = x$
skeeter is online now  
January 31st, 2015, 04:19 AM   #3
Senior Member
 
BonaviaFx's Avatar
 
Joined: Dec 2014
From: Canada

Posts: 110
Thanks: 4

Thanks
BonaviaFx is offline  
January 31st, 2015, 04:25 AM   #4
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 6,937
Thanks: 2265

Math Focus: Mainly analysis and algebra
The first should be an ellipse with one focus at the origin.
v8archie is offline  
January 31st, 2015, 05:34 AM   #5
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,623
Thanks: 1303

Parabola for #1 ?
skeeter is online now  
Reply

  My Math Forum > High School Math Forum > Geometry

Tags
coordinate, polar, problem



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Which is orientation of tangential angle in polar coordinate Jhenrique Calculus 1 February 27th, 2014 07:20 AM
Polar to Cartesian Coordinate Conversion Help swm06 Algebra 2 April 13th, 2012 09:34 AM
polar coordinate Curve aaron-math Calculus 2 December 14th, 2011 08:09 AM
problem in finding polar angle in spherical coordinate syste pcgeek Algebra 0 December 30th, 2009 02:29 PM
taking fourrier integral in polar coordinate h_cet Applied Math 0 March 9th, 2009 12:31 AM





Copyright © 2017 My Math Forum. All rights reserved.