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 ]

n1 Sin[ theta1 ] = n2 Sin[ theta2 ]

and Brewster's angle is written as

Cot[ thetaB ] = n1 / n2

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").

```

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