Please help me out with this problem

Given \[\dfrac{\cos A}{\cos B}+\dfrac{\sin A}{\sin B}=-1.\] Then what is the value of \[\dfrac{\cos^{3}B}{\cos A}+\dfrac{\sin^{3}B}{\sin A}?\]

**a** ) \(1\)

**b** ) \(0\)

**c** ) \(4\)

**d** ) \(\dfrac{1}{2}\)

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