January 30th, 2015, 12:34 PM  #1 
Senior Member 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} $ 
January 30th, 2015, 01:23 PM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,700 Thanks: 1358  Quote:
$\displaystyle 2 = r + r\cos{\theta}$ $\displaystyle 2 = \sqrt{x^2+y^2} + x$  $\displaystyle \theta = \frac{\pi}{4}$ $\displaystyle \tan{\theta} = 1$ $\displaystyle \frac{y}{x} = 1$ $\displaystyle y = x$  
January 31st, 2015, 05:19 AM  #3 
Senior Member Joined: Dec 2014 From: Canada Posts: 110 Thanks: 4 
Thanks 
January 31st, 2015, 05:25 AM  #4 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,142 Thanks: 2382 Math Focus: Mainly analysis and algebra 
The first should be an ellipse with one focus at the origin.

January 31st, 2015, 06:34 AM  #5 
Math Team Joined: Jul 2011 From: Texas Posts: 2,700 Thanks: 1358 
Parabola for #1 ?


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