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How can I obtain a solution for this system of equations?

Posted 2 years ago

I am trying to solve this system of three equations with three variables, but I am doing something wrong. This is the system:
P1 == x + ysin (2theta1) + zcos (2theta1),
P2 == x + ysin (2theta2) + zcos (2theta2),
P3 == x + ysin (2theta3) + zcos (2theta3)},
where the unknown variables are {x, y, z}] and I want to obtain an equation for each one of these variables depending on the P and theta which are values that I will know.

thank you for your help

POSTED BY: Raquel Salvador
2 Replies

I would rather use Solve, for a much more readable expression:

Solve[{P1 == x + y Sin[2 theta1] + z Cos[2 theta1],
   P2 == x + y Sin[2 theta2] + z Cos[2 theta2],
   P3 == x + y Sin[2 theta3] + z Cos[2 theta3]},
  {x, y, z}] // FullSimplify
POSTED BY: Gianluca Gorni
Posted 2 years ago
POSTED BY: Bill Nelson
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