       Re: Trigonometry, sine theorem.

• To: mathgroup at smc.vnet.net
• Subject: [mg30750] Re: [mg30719] Trigonometry, sine theorem.
• From: BobHanlon at aol.com
• Date: Sun, 9 Sep 2001 03:26:49 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```In a message dated 2001/9/8 3:18:14 AM, Matthias.Bode at oppenheim.de writes:

>I have a non-special triangle with sides
>
>a = 75mm, b = 67 mm, c = 117 mm.
>
>I just want to calculate the angles alpha, beta, gamma using a/b =
>sin[alpha]/sin[beta] &c. for a/c and b/c.
>
>All my attempts with FindRoot, Solve, including prior TrigToExp
>transformation were nugatory.
>

a = 75; b = 67; c = 117;

FindRoot[{Sin[alpha]/Sin[beta] == a/b,
Sin[alpha]/Sin[gamma] == a/c,
alpha+beta+gamma == Pi},
{alpha, Pi/3}, {beta, Pi/3}, {gamma, Pi/3}]

{alpha -> 0.6423734163310746, beta -> 0.5647370762223595,
gamma -> 1.934482161036359}

Bob Hanlon
Chantilly, VA  USA

```

• Prev by Date: Re: Changing the default font to arial
• Next by Date: Math 1 Fonts Problem, Another Aspect
• Previous by thread: Re: Trigonometry, sine theorem.
• Next by thread: Re: Trigonometry, sine theorem.