Equality of trigonometric functions

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I have

$\frac{\cos(a)}{\sin(a)}= \frac{\cos(b)}{\sin(b-c)}$

Does this imply something? I know that l.h.s. is

$\tan(a)$

And r.h.s. is

$\frac{\cos(b)}{[\sin(b)\cos(c)-\sin(c)\cos(b)]}$

But is there anything else?

$c>b>a$

Also b and a are $pc$ and $qc$ respectively

where $0<q,p<1$