How solve this trigo system ?

09182017, 10:12 AM
(This post was last modified: 09182017 10:44 AM by Gerson W. Barbosa.)
Post: #2




RE: How solve this trigo system ?
From the first equation,
cos(y)=cos(x)1/2 (sin(y))^2=1(cos(x))^2+cos(x)1/4 After squaring the second equation and replacing, we get (cos(x))^4  (cos(x))^3  7/4*(cos(x))^2 + cos(x) + 39/64 = 0 which can be solved by PROOT on the 50g: [ 1 1 '7/4' 1 '39/64' ] PROOT > cos(x) = [ .411437827766 .911437827766 1.04903810568 1.54903810568 ] The first two roots appear to be '(1√7)/4' and '(1+√7)/4', respectively. Edited to fix the sign of one of the exact solutions. 

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Messages In This Thread 
How solve this trigo system ?  ggauny@live.fr  09182017, 08:56 AM
RE: How solve this trigo system ?  Gerson W. Barbosa  09182017 10:12 AM
RE: How solve this trigo system ?  ggauny@live.fr  09182017, 10:45 AM
RE: How solve this trigo system ?  Gerson W. Barbosa  09182017, 10:55 AM
RE: How solve this trigo system ?  Gerson W. Barbosa  09182017, 11:28 AM
RE: How solve this trigo system ?  Dieter  09182017, 12:46 PM
RE: How solve this trigo system ?  Dieter  09182017, 05:48 PM
RE: How solve this trigo system ?  AlexFekken  09192017, 06:36 AM
RE: How solve this trigo system ?  Albert Chan  01312020, 10:48 PM
RE: How solve this trigo system ?  Dieter  09192017, 06:30 PM
RE: How solve this trigo system ?  ggauny@live.fr  09222017, 07:27 AM
RE: How solve this trigo system ?  Gerson W. Barbosa  09222017, 05:05 PM

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