Re: A help with trigonometric functions, please
- From: danielmryan@xxxxxxxx
- Date: 14 Jan 2007 10:14:09 -0800
But the guy told me this is not precise and, in formal Math, is wrong.
Though I didn't understand what he meant, I could see this was about
the very definition of the sine and cosine functions The definitions I
have of these functions are those based on right triangles or, maybe
more precise, on the unit circle. But he told me those definitions are
not very accurate, because their right definitions of sin and cosin are
based on something he called power series. The guy didnt want to waste
his time with someone my age and didnt go into details,...
Did he say that he didn't have enough time to go into 'elementary' (or
whatever) details when you asked him to prove what he said? Formally,
the fellow was correct in his description, but his conclusion that he
was right and you were wrong doesn't seem to follow.
I can say that there's no such thing as multiplication, or even
addition except for adding the number 1, and even drag in the Peano
Axioms to make such a case (provided that I work in subtracting by the
number 1 also.) That would be fine if I elaborate upon it correctly,
and I might even flesh out some new aspect of arithmetic if I do so.
But for me to go from there to asserting that "multiplication is
simplistic" would be a bit odd, now wouldn't it?
The math world does have its denizens who have fallen in love with
their tools. My guess, Sharon, is that you bumped into one of them. You
just got a disguised lesson, on where the values for trig functions are
computed from, from that fellow, along with a bit of presumed bullroar
(until proven.)
.
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