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HSC 2015 MX2 Marathon ADVANCED (archive) (2 Viewers)
- Thread starter Trebla
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dan964
what
Re: HSC 2015 4U Marathon - Advanced Level
the only other reference was just me trying to wrap around some-one else question, so not actually a question posed.
which one? I don't remember posing questions, only quoting what the current question was which was posted by simpleetal.
the only other reference was just me trying to wrap around some-one else question, so not actually a question posed.
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Paradoxica
-insert title here-
dan964
what
Re: HSC 2015 4U Marathon - Advanced Level
can you link the original question, for context. cannot seem to find it.^2 + g(x)^2 = 1$, where f and g are identical(?) polynomials. I think perhaps they are not identical, but differ marginally.$)
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dan964
what
Re: HSC 2015 4U Marathon - Advanced Level
For anyone interested, here is the edited version:
glittergal96
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Re: HSC 2015 4U Marathon - Advanced Level
This wording is not really any clearer imo.
This wording is not really any clearer imo.
Re: HSC 2015 4U Marathon - Advanced Level
Yeah. I just posted it here to save people trouble of having to search it. Haha
Paradoxica
-insert title here-
Re: HSC 2015 4U Marathon - Advanced Level
Prove, that in the polynomial expansion of cos(nx) and sin(nx), they will only be identical if and only if n is odd (subject to trivial cases)
The question, as I interpret it is...
Prove, that in the polynomial expansion of cos(nx) and sin(nx), they will only be identical if and only if n is odd (subject to trivial cases)
dan964
what
Re: HSC 2015 4U Marathon - Advanced Level
Really, it is actually a simple question, my poor wording made what should be a very simple question reducible to something very simple/almost trivial, as noted above; unable to be done...
(more suitable for normal 4u thread)
The function f(x) and g(x) are given so that for n>0
f(nx) is some H(f(x))
g(nx) is some G(g(x))
If f(x)^2+g(x)^2=1
demonstrate (using Demoivre's theorem without resorting to induction) that functions H(y) and G(y) are identical for when n=1, 5, 9...
Sorry, don't know what I was thinking last night. The edited version isn't any clearer, and still has the error that the original did which I noticed just then.
Really, it is actually a simple question, my poor wording made what should be a very simple question reducible to something very simple/almost trivial, as noted above; unable to be done...
(more suitable for normal 4u thread)
The function f(x) and g(x) are given so that for n>0
f(nx) is some H(f(x))
g(nx) is some G(g(x))
If f(x)^2+g(x)^2=1
demonstrate (using Demoivre's theorem without resorting to induction) that functions H(y) and G(y) are identical for when n=1, 5, 9...
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Paradoxica
-insert title here-
dan964
what
Re: HSC 2015 4U Marathon - Advanced Level
didn't do it in latex, otherwise yes would have put it like that.
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