What could it be?

Geometry Level 4

\[ \large a\cos B-b\cos A=a\sin A-b\sin B \]

In \(\triangle ABC\), the side lengths across from angles \(A\), \(B\) and \(C\) are denoted \(a\), \(b\) and \(c\) respectively.

If the equation above is satisfied, identify the type of triangle for \(\triangle ABC.\)

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