How solve this trigo system ?
09-18-2017, 11:28 AM (This post was last modified: 09-18-2017 11:40 AM by Gerson W. Barbosa.)
Post: #5
 Gerson W. Barbosa Senior Member Posts: 1,546 Joined: Dec 2013
RE: How solve this trigo system ?
(09-18-2017 10:45 AM)ggauny@live.fr Wrote:  Thank Gerson,

You say first 2 roots, so there are others ?

The vector returned by PROOT contains four roots.

The other two appear to be

'(1-3*√3)/4' and '(1+3*√3)/4'.

You might want to solve the quartic equation symbolically to check the results. I fear I cannot do that by hand :-)

Notice those are solutions for cos(x). The solutions for x are obviously the arccosine of those values.

W|A lists them all:

http://m.wolframalpha.com/input/?i=solve...2F64+%3D+0
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 Messages In This Thread How solve this trigo system ? - ggauny@live.fr - 09-18-2017, 08:56 AM RE: How solve this trigo system ? - Gerson W. Barbosa - 09-18-2017, 10:12 AM RE: How solve this trigo system ? - ggauny@live.fr - 09-18-2017, 10:45 AM RE: How solve this trigo system ? - Gerson W. Barbosa - 09-18-2017, 10:55 AM RE: How solve this trigo system ? - Gerson W. Barbosa - 09-18-2017 11:28 AM RE: How solve this trigo system ? - Dieter - 09-18-2017, 12:46 PM RE: How solve this trigo system ? - Dieter - 09-18-2017, 05:48 PM RE: How solve this trigo system ? - AlexFekken - 09-19-2017, 06:36 AM RE: How solve this trigo system ? - Albert Chan - 01-31-2020, 10:48 PM RE: How solve this trigo system ? - Dieter - 09-19-2017, 06:30 PM RE: How solve this trigo system ? - ggauny@live.fr - 09-22-2017, 07:27 AM RE: How solve this trigo system ? - Gerson W. Barbosa - 09-22-2017, 05:05 PM

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