Simplifying expression involving Log and I
- To: mathgroup at smc.vnet.net
- Subject: [mg38010] Simplifying expression involving Log and I
- From: "Dave Snead" <dsnead6 at charter.net>
- Date: Mon, 25 Nov 2002 01:58:00 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hi, I'm trying to simplify (M, r, d are positive reals with r<d) d*Pi + I*d*(Log[M] - 2*Log[(-I)*Sqrt[(M*r)/d] + Sqrt[M - (M*r)/d]]) to 2*d*ArcCos[Sqrt[r/d]] I've tried applying FullSimplify[#,M>0 && 0<r<d]& and ExpToTrig but Mathematica won't get rid of the Log and the I and give me the ArcCos. Does anyone know which Mathematica functions to apply to my expression to give me the simplification I want? Thanks in advance.