10 Apr
2011
10 Apr
'11
5:52 p.m.
On Sun, 10 Apr 2011, Tyler Leavitt wrote:
I've not had any real success using the formulas with [sin] and [cos]...
I don't know why, but I had assumed that you wanted to plot something "parametrically", such as a path drawn from x(t) and y(t) functions, instead of a y(x) function. I was reading too fast.
For a y(x) function, sqrt(r*r-x*x) is the formula to use.
That is related to the fact that sqrt(1-x*x) = sin(acos(x)) = cos(asin(x)) where asin is anti-sin and acos is anti-cos.
It's also related to Pythagoras' theorem x*x + y*y = r*r which is also sin(t)*sin(t) + cos(t)*cos(t) = 1.
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