Learned something AMAZING today

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oboeguy

Diamond Member
Dec 7, 1999
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Originally posted by: DrPizza
Heck, who'd have even believed something as simple as Cos(x) = x - x^3/3! + x^5/5! - x^7/7! + ...
if they hadn't learned how to prove that result in calculus.

That's the expansion for sine, btw (I would know, I just gave a lab assignment to explore this with Maple). Remember, cosine is an even function so the above could not be true.
 

DrPizza

Administrator Elite Member Goat Whisperer
Mar 5, 2001
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www.slatebrookfarm.com
Originally posted by: oboeguy
Originally posted by: DrPizza
Heck, who'd have even believed something as simple as Cos(x) = x - x^3/3! + x^5/5! - x^7/7! + ...
if they hadn't learned how to prove that result in calculus.

That's the expansion for sine, btw (I would know, I just gave a lab assignment to explore this with Maple). Remember, cosine is an even function so the above could not be true.

Oh duh.. I hate when I do that... I switch them all the time. But, I never stopped to think about the even/odd thing... that'll keep me from ever doing that again. Thanks!