Polar to Cartesian- Why are they slightly different?

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When I make a polar equation, lets say r=θ, I can convert it to cartesian / rectangular with: y=cos(t)*t, x=sin(t)*t implying that t is from 0 to a number.
I plug this into my grapher, and the results: enter image description here

They both seem to work as expected, from this view.
I zoomed into the graph, and they seem to be slightly apart. Is this because of my computer's processing power, or because of mathematics itself? Any reasoning would be great. Also, I am wondering why they are different. EDIT: Still want to know how both of them are processed on the computer side, leading to different results. Thanks!

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It was my computer, the processor most likely limited out at a certain float. I tested on a more powerful computer and the results are the same. I'm still wondering why they were different, though.