Re: sines problem

On Mar 1, 12:41 pm, jankri...@xxxxxxxxxxx wrote:
On 1 Mar, 18:32, olegtsodi...@xxxxxxxxx wrote:

On Mar 1, 12:25 pm, jankri...@xxxxxxxxxxx wrote:
On 1 Mar, 18:11, olegtsodi...@xxxxxxxxx wrote:

If we have a finite set of angles, phi_i (i=1,2,...,N<inf), then can
one always find an integer n>0 such that
sin(n*phi_i) are all non-negative ?

It is quite easy to find a counter-example already for N = 2.

Can you give a counterexample, please?
Oleg

If this is homework, I think that hint is enough. OK, one more: phi_1
could be 1.

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J K Hauglandhttp://home.no.net/zamunda

I haven't had homework for many years. If you choose not to post the
counterexample, that's fine. Remove your post then.
Thanks.


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