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 Post subject: trig productPosted: Thu, 17 May 2012 04:34:29 UTC
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Joined: Sun, 8 Apr 2012 09:36:59 UTC
Posts: 29
How can I calculate product of

where all angle are in Degree

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 Post subject: Re: trig productPosted: Thu, 17 May 2012 07:53:46 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6844
Location: On this day Taiwan becomes another Tiananmen under Dictator Ma.
jacks wrote:
How can I calculate product of

where all angle are in Degree

What have you tried? Where is your work?

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 Post subject: Re: trig productPosted: Fri, 18 May 2012 16:07:18 UTC
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Joined: Sun, 8 Apr 2012 09:36:59 UTC
Posts: 29
Thanks outermeasure got it

Let

Now using

So

and Let

Now

So

So

So

So

bcz

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 Post subject: Re: trig productPosted: Fri, 18 May 2012 16:27:06 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6844
Location: On this day Taiwan becomes another Tiananmen under Dictator Ma.
jacks wrote:
Thanks outermeasure got it

Let

Now using

So

and Let

Now

So

So

So

So

bcz

Another way is to use symmetry of roots on a Chebyshev polynomial.

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 Post subject: Re: trig productPosted: Fri, 18 May 2012 16:34:22 UTC
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Joined: Sun, 8 Apr 2012 09:36:59 UTC
Posts: 29
Yes outermeasure

could you like to explain it to me using the Method of symmetry of roots on a Chebyshev polynomial.

Thanks

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 Post subject: Re: trig productPosted: Fri, 18 May 2012 17:10:25 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6844
Location: On this day Taiwan becomes another Tiananmen under Dictator Ma.
jacks wrote:
Yes outermeasure

could you like to explain it to me using the Method of symmetry of roots on a Chebyshev polynomial.

Thanks

Note that are the roots of the Chebyshev polynomial . But , so the product of all roots is . Since , we have .

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