Polar and rectangular coordinates

**uberkrissy** · January 20th 2010, 07:35 PM

Any help is great. Steps or explanations are appreciated.

The polar coordinates (8.1, 5.2) converted to rectangular coordinates.
The rectangular coordinates (-.8, -2.1) converted to polar coordinates.
X and Y represent rectangular coordinates. Write each equation using polar coordinates.

$1. x^2+y^2=x$

$2. y^2=2x$

$3. 4x^2y=1$
The letters r and θ represent polar coordinates. Write each equation using rectangular coordinates.

$1. r=sin\theta+1$

$2. r=4$

**pickslides** · January 20th 2010, 09:04 PM

Convert from one to the other using

$(x,y) = (r\cos(\theta),r\sin(\theta))$

where

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

$<br /> \theta = \tan^{-1}\left(\frac{y}{x}\right)<br />$

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