Re: Choosing preferred functions for Trig Simplification?

*To*: mathgroup at smc.vnet.net*Subject*: [mg83203] Re: Choosing preferred functions for Trig Simplification?*From*: AES <siegman at stanford.edu>*Date*: Thu, 15 Nov 2007 05:31:15 -0500 (EST)*Organization*: Stanford University*References*: <fhegov$m8b$1@smc.vnet.net>

> In Simplifying expressions containing multiple Trig functions, I'd like > to persuade Mathematica to limit its vocabulary to Sin, Cos and Tan, > and avoid Sec, Csc and Cot (while continuing to put expressions into the > simplest Together form, and so on). Just to add a little fillip to this original query of mine, I'll make a the following challenge/good faith offer: If any regular posters to either of these groups can identify any published optics or e-m theory text in which Snell's Law is written as n1 Csc[ theta2 ] = n2 Csc[ theta1 ] instead of n1 Sin[ theta1 ] = n2 Sin[ theta2 ] and Brewster's angle is written as Cot[ thetaB ] = n1 / n2 instead of Tan[thetaB] = n2/n1 (or any algebraically equivalent formulations using "cosecant" or cotangent"), I'll write a $20 check to any (one!) U.S. tax-deductible charitable organization selected by the first such responder . (Time of email receipt in my MacBook Eudora IN box determines "first").

**Follow-Ups**:**Re: Re: Choosing preferred functions for Trig Simplification?***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>