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Question: Resolution of nonlinear equations with trigonometric equations

Question:Resolution of nonlinear equations with trigonometric equations

Bendesarts 440 Maple
December 23 2012
0

Hello,

I'd like to solve  a system of 3 équations and 3 unknows. The system is composed with 3 trigonometric equations and the unknows are the angles gamma_e[1], psi_e[1],phi_e[1] which belongs between 0 and PI.
I have tried this with SOLVE function and i didn't have any results

Code:
restart; eq_liai_e[1] := .5624498772-.1286563022*cos(gamma_e[1])-.6092399112*cos(gamma_e[1])*cos(phi_e[1])*cos(psi_e[1])+.6092399112*cos(phi_e[1])*sin(gamma_e[1])*sin(psi_e[1])+.3651964504*sin(phi_e[1]) = 0; eq_liai_e[2] := .3371491180-0.7712039876e-1*cos(gamma_e[1])-.3651964504*cos(gamma_e[1])*cos(phi_e[1])*cos(psi_e[1])+.3651964504*cos(phi_e[1])*sin(gamma_e[1])*sin(psi_e[1])-.6092399112*sin(phi_e[1]) = 0; eq_liai_e[3] := .706007[1]+.15*sin(gamma_e[1])+(.710311*(cos(gamma_e[1])*sin(psi_e[1])+cos(psi_e[1])*sin(gamma_e[1])))*cos(phi_e[1])-.706007 = 0; sol := solve({seq(eq_liai_e[i],i=1..3)}, {gamma_e[1], psi_e[1],phi_e[1]});


I also tried with FSOLVE function but i didn't have any results too.

May you help me please ? I thank you in advance.
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