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May 31st, 2013, 08:17 PM   #1
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How to parametrize this curve?

Hi!, I have this plain curve given in polar coord. and I'm asked to parametrize it, but I really don't know where to start. Any advise?
the equation is where t is the angle.
Thanks!
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June 1st, 2013, 11:12 AM   #2
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Re: How to parametrize this curve?

I believe you meant 'sin' instead of 'sen'. To begin solving your problem, first make the subject of the equation, thereby obtaining. Afterwards, use the following identities for transformation into Euclidean coordinates: and . If you do your arithmetic right, you will then obtain the simplification; . You should recognize this to be the equation for an ellipse, which has the parametrization . You can easily check that this parametrization satisfies your Euclidean equation . Hope you understand and are satisfied with these tips.
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