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| Author |
Message |
| AI... |
 Posted: Thu Nov 05, 2009 6:18 pm |
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Guest
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When do we get
Sum [n=0 to (180/a) -1] tan(an + b)^c as an +ve integer (where c is
any +ve integer)
My work tells me that when
| Product [n=0 to (180/a) -1] tan(an + b)^c | = 1 (where | is for
absolute value and "a" is factor of 180 )
then for some value of b we can have Ó [n=0 to (180/a) -1] tan(an + b)
^c as an integer
Question:
Is there any specific domain for values of "b"?
If we take "c" as any even integer then it seems that we have more
pairs of such a & b. For example when we take c as any odd number,
with most of the "a" (factors of 180) we fail to find "b" such that Sum
[n=0 to (180/a) -1] tan(an + b)^c is an integer but for even "c",
there are many such pairs. |
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