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 January 30th, 2015, 11:34 AM #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, 12:23 PM   #2
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Quote:
 Originally Posted by BonaviaFx Find the Cartesian equation of: $\displaystyle \frac{2}{r} = 1+cos θ$ And $\displaystyle θ=\frac{π}{4}$
$\displaystyle r \cdot \frac{2}{r} = r(1+cos{\theta})$

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

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

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

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

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

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

$\displaystyle y = x$

 January 31st, 2015, 04:19 AM #3 Senior Member     Joined: Dec 2014 From: Canada Posts: 110 Thanks: 4 Thanks
 January 31st, 2015, 04:25 AM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,313 Thanks: 2447 Math Focus: Mainly analysis and algebra The first should be an ellipse with one focus at the origin.
 January 31st, 2015, 05:34 AM #5 Math Team   Joined: Jul 2011 From: Texas Posts: 2,755 Thanks: 1405 Parabola for #1 ?

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