Good ol' trigonometry (KVPY)

Geometry Level 4

\[ \large \csc^2 (a+b) - \sin^2 (b-a) + \sin^2 (2a-b) = \cos^2 (a-b) \]

The equation above holds true for \(0<a,b< \dfrac\pi2\). Find the value of \( -\sin(a-b) \).

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