Looking to find the analytic roots of $$(1+c) \cos(ax)+(1-c) \cos(bx)=0$$ where $a$,$b$, and $c>0$.
Any ideas? For $c=0$ the answer is straight forward.
P.S. The constants $a=A-B$ and $b=A+B$ if that helps better.
Looking to find the analytic roots of $$(1+c) \cos(ax)+(1-c) \cos(bx)=0$$ where $a$,$b$, and $c>0$.
Any ideas? For $c=0$ the answer is straight forward.
P.S. The constants $a=A-B$ and $b=A+B$ if that helps better.
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