Re: [obm-l] PROBLEMAS INTERESSANTES!

To: obm-l@xxxxxxxxxxxxxx
Subject: Re: [obm-l] PROBLEMAS INTERESSANTES!
From: saulo nilson <saulo.nilson@xxxxxxxxx>
Date: Fri, 13 Jan 2006 12:18:32 -0400
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=beta; d=gmail.com; h=received:message-id:date:from:to:subject:in-reply-to:mime-version:content-type:references; b=lqzRXyXMq/qm0/2Ul1e4CgkJkkys1AZasULSRffNbryFnQXPOj6RiuZVTLU3Ochn4BzIIjbAn6g7RkBrBGLhUGm4xJ5CPPqSWLHJijDBEdnXh+0cuNgH9GGAzHw2mWB6JyayKAg+y1lwlqJwETlbJwsAzhXXGWrqt0OdsnmOsPk=
In-Reply-To: <BAY114-F26208A4ACD1512F139E432D1260@phx.gbl>
References: <BAY114-F26208A4ACD1512F139E432D1260@phx.gbl>
Reply-To: obm-l@xxxxxxxxxxxxxx
Sender: owner-obm-l@xxxxxxxxxxxxxx

sena +sen b +senc =4cosb/2cosc/2*cosa/2

isto vem de

a+b+c = 180

b+c =180-a

sen(b+c)=sena

chamando a diferençao pedida de m

b-c =m

b= c+m

senb = sen(c+m)

chegaremos a:

senb+senc+senm = 4cosc/2cosb/2cosm/2

somando sena dos dois lados e S a soma pedida:

S = 4cosc/2cosb/2cosm/2 -senm +sena

S e maximo quando m tender a zero, abraço, saulo.

Follow-Ups:
- Re: [obm-l] PROBLEMAS INTERESSANTES!
  - From: saulo nilson

References:
- [obm-l] PROBLEMAS INTERESSANTES!
  - From: Jorge Luis Rodrigues e Silva Luis