Hi, for polar equations, you usually need r and theta, in this case, I am only given one bit of information, how do I do it?

1) Convert these polar equations to Cartesian:

a]

b]

2) Convert from Cartesian to polar:

a]

b]

Thanks for any help :)

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- May 23rd 2010, 05:45 AMBG5965Polar equations, limited information given
Hi, for polar equations, you usually need r and theta, in this case, I am only given one bit of information, how do I do it?

1) Convert these polar equations to Cartesian:

a]

b]

2) Convert from Cartesian to polar:

a]

b]

Thanks for any help :) - May 23rd 2010, 06:14 AMSpringFan25
There are 2 equations that define the relationship between cartesian and polar coordinates:

or, equivalently

To do your conversions, just make the substitutions, eg:

1a

- May 23rd 2010, 06:56 AMBG5965
Okay, I've got that, but what about the others. For example, 2b) surely can't be:

(formula)

(given)

...could it? - May 23rd 2010, 06:59 AMProve It
- May 23rd 2010, 07:28 AMSpringFan25
*ahem* yes i rushed it :D

- May 23rd 2010, 07:34 AMSpringFan25
- May 23rd 2010, 07:43 AMBG5965
Is it:

? - May 23rd 2010, 02:42 PMSpringFan25
i think so, but i fear the wrath of prove it if im wrong :D

- May 23rd 2010, 06:12 PMProve It