- #1
sodemus
- 29
- 0
So, my question is really simple. What are the requirements for a1, a2, C1, C2 for a real solution to exist for the following system of equations?
sin(theta1) + a1*sin(theta2) = C1
cos(theta1) + a2*cos(theta2) = C2
If it would be helpful, I'm not interested in the solution, necessarily (could do that with numerical methods), just interested for what parameter configurations it exists over real numbers.
I have tried assuming a complex solution and then imposing conditions on that but it hasn't really taken me anywhere...
sin(theta1) + a1*sin(theta2) = C1
cos(theta1) + a2*cos(theta2) = C2
If it would be helpful, I'm not interested in the solution, necessarily (could do that with numerical methods), just interested for what parameter configurations it exists over real numbers.
I have tried assuming a complex solution and then imposing conditions on that but it hasn't really taken me anywhere...
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