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parametrics question (1 Viewer)

mathsbrain

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Hi,

Stuck on this question:
convert x=tanx-sinx and y=tanx+sinx to cartesian form.

Thanks!
 

integral95

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Umm if you try expanding and simplifying don't you get 0=0 which is saying we havent found a catesian relation?
True that, you should change tan^2 to sin^2/cos^2 then simplify to get

Then sub the equations from my 2nd line.
 

fan96

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Here's another solution:



i.e.



It's also clear to see solving this equation with gives the point just as it would for the parametric form. Therefore this is a valid conversion.

The graph of this equation is quite interesting.
 
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