Trigonometry - Compound and Double-Angle Identities

Trigonometry - Compound and Double-Angle Identities

Given that \(\sin A = \frac{5}{13}\) and \(\cos B = -\frac{4}{5}\), and \(A\) and \(B\) are in the same quadrant. Without using the calculator, find the exact value of \(\sin(A - B)\).

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Answer:\(\frac{16}{65}\)

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