Return-Path: Received: (qmail 29621 invoked from network); 25 Apr 2003 14:54:43 -0000 Content-Transfer-Encoding: 8bit Received: from netmail02.services.quay.plus.net (212.159.14.221) by mailstore with SMTP; 25 Apr 2003 14:54:43 -0000 Received: (qmail 13939 invoked by uid 10001); 25 Apr 2003 14:54:43 -0000 X-Priority: 3 X-MSMail-Priority: Normal Received: from post.thorcom.com (193.82.116.70) by netmail02.services.quay.plus.net with SMTP; 25 Apr 2003 14:54:43 -0000 X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1106 X-SQ: A Received: from majordom by post.thorcom.com with local (Exim 4.14) id 1994aJ-0005Sk-LR for rsgb_lf_group-outgoing@blacksheep.org; Fri, 25 Apr 2003 15:53:55 +0100 Received: from [134.58.240.42] (helo=rusty.kulnet.kuleuven.ac.be) by post.thorcom.com with esmtp (Exim 4.14) id 1994aD-0005S1-NZ for rsgb_lf_group@blacksheep.org; Fri, 25 Apr 2003 15:53:49 +0100 Received: from localhost (localhost [127.0.0.1]) by rusty.kulnet.kuleuven.ac.be (Postfix) with ESMTP id 670DD1D7402 for ; Fri, 25 Apr 2003 16:53:19 +0200 (CEST) Received: from antonius.kulnet.kuleuven.ac.be (antonius.kulnet.kuleuven.ac.be [134.58.240.73]) by rusty.kulnet.kuleuven.ac.be (Postfix) with ESMTP id 065251D73C6 for ; Fri, 25 Apr 2003 16:53:19 +0200 (CEST) Received: from dell-rik.fys.kuleuven.ac.be (pc-10-33-165-177.fys.kuleuven.ac.be [10.33.165.177]) by antonius.kulnet.kuleuven.ac.be (Postfix) with ESMTP id D63A64C0D0 for ; Fri, 25 Apr 2003 16:53:18 +0200 (CEST) Message-ID: <5.1.0.14.0.20030425164433.04394e80@u0019445.kuleuven.be> X-Sender: u0019445@u0019445.kuleuven.be X-Mailer: QUALCOMM Windows Eudora Version 5.1 Date: Fri, 25 Apr 2003 16:54:41 +0200 To: rsgb_lf_group@blacksheep.org From: "Rik Strobbe" In-reply-to: <000901c30b37$258cd800$6507a8c0@Main> MIME-Version: 1.0 X-Virus-Scanned: by KULeuven Antivirus Cluster Subject: Re: LF: something for the weekend ?? Content-Type: text/plain; charset=us-ascii; format=flowed X-Spam-Status: No, hits=-6.5 required=5.0tests=IN_REP_TO,QUOTED_EMAIL_TEXTversion=2.53 X-Spam-Checker-Version: SpamAssassin 2.53 (1.174.2.15-2003-03-30-exp) X-SA-Exim-Scanned: Yes Sender: Precedence: bulk Reply-To: rsgb_lf_group@blacksheep.org X-Listname: rsgb_lf_group X-SA-Exim-Rcpt-To: rsgb_lf_group-outgoing@blacksheep.org X-SA-Exim-Scanned: No; SAEximRunCond expanded to false Hello Alan, >Hi Andy, I am afraid my Terman "Radio Engineers Handbook" 1943 Page 19 >gives > > Sin(A).Cos(B)= Sin(A-B)+Sin(A+B) ....if we forget about the 0.5 factor. But Andy took Cos(A)*Sin(B) instead of Sin(A)*Cos(B) So if we swap A and B in your formula we come to : Sin(B-A) + Sin(B+A) = Sin(B+A) + Sin(B-A) If we put that back to the "A first - B last" it becomes : Sin(A+B) + Sin(-A+B) = Sin(A+B) - Sin(A-B) This last is what Andy gave. 73, Rik ON7YD