Finding roots for $(1+c) \cos(ax)+(1-c) \cos(bx)=0$

62 Views Asked by At

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.