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MathGroup Archive 1999

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Re: Solve and Trig functions

  • To: mathgroup at
  • Subject: [mg19322] Re: [mg19295] Solve and Trig functions
  • From: "David Park" <djmp at>
  • Date: Sat, 14 Aug 1999 23:42:52 -0400
  • Sender: owner-wri-mathgroup at


In this particular case, this would be a simple way:

Inner[Divide, eq1, eq2, Equal]
(a1 + b1)/(a2 + b2) == Tan[fi]

For something more general you might try something like this:

eqns = {a1 + b1 == sin[fi], a2 + b2 == cos[fi], Tan[x] == sin[fi]/cos[fi]};
Solve[eqns, Tan[x], {sin[fi], cos[fi]}]
{{Tan[x] -> (a1 + b1)/(a2 + b2)}}

David Park
djmp at

>If I have the following two equations:
>eq1 = a1 + b1 == Sin[fi];
>eq2 = a2 + b2 == Cos[fi];
>It is clear that
>Tan[fi] == (a1+b1)/(a2+b2)
>but how do I get Mathematica to recoginize this? This problem is trivial, but 
>with more complicated expressions, the answer may not be immediately 
>Kevin J. McCann
>Johns Hopkins University APL

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