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