3
$\begingroup$

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!

  • 1
    Likely due to your computer. Nothing is wrong with the math here. – 2017-02-04
  • 0
    Thanks. Just tested on a more powerful computer and results are the same- Will answer my own question – 2017-02-04
  • 0
    Cool. :-) May help for you to figure out **why** the math works while your at it. – 2017-02-04

1 Answers 1

1

Self-Answered
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.

  • 0
    is *powerful* synonym of *more digits* ? does it relate to the HW or the SW you are using ? – 2017-02-04
  • 0
    By this comment, yes, _powerful_ is a synonym of _more digits_ meaning more exact. And the software was the same- just a 2008 Mac versus a 2016 Mac – 2017-02-04