Trigonometry - Compound and Double-Angle Identities

Trigonometry - Compound and Double-Angle Identities

Given that \(\tan A = \frac{5}{12}\), \(\cos B = -\frac{3}{5}\) and that \(A\) and \(B\) are in the same quadrant, calculate without the use of calculators, the values of \(\sin(A - B)\).

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Answer:\(-\frac{33}{65}\)

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