Re: Solve and Trig functions

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

```Kevin,

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

>
>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
>obvious.
>
>Thanks,
>
>Kevin
>
>Kevin J. McCann
>Johns Hopkins University APL
>
>

```

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