Solving a general complex trigonometric equation

AI Thread Summary
The discussion revolves around solving a complex trigonometric equation of the form a*cos(vx+p) + b*cos(ux+q) = c. The original poster expresses uncertainty about finding a general solution to this equation. Participants question the existence of an analytic solution and inquire about the reasoning behind the belief that one might exist. The conversation highlights the challenges in solving such equations and the lack of clear methods available. Overall, the thread emphasizes the complexity of finding solutions to general trigonometric equations.
omertech
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Hello everyone!

Homework Statement


Solving a relatively general equation representing a constant combination of 2 trigonometric functions.

Homework Equations


a\cos{(vx+p)}+b\cos{(ux+q)}=c

The Attempt at a Solution


I really don't have any idea for a general solution to this equation..

Best Regards
 
Last edited:
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Not aware of any general analytic solution. Do you have a reason for believing such exists?
 

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