What is the value of frac{sin A - 2 sin^3 A}{ | vedclass

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(D) Given expression: $\frac{\sin A - 2 \sin^3 A}{2 \cos^3 A - \cos A}$Factor out $\sin A$ from the numerator and $\cos A$ from the denominator:$= \fr

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$	an A$

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(D) Given expression: $\frac{\sin A - 2 \sin^3 A}{2 \cos^3 A - \cos A}$Factor out $\sin A$ from the numerator and $\cos A$ from the denominator:$= \frac{\sin A (1 - 2 \sin^2 A)}{\cos A (2 \cos^2 A - 1)}$We know that $\sin^2 A = 1 - \cos^2 A$:$= 	an A \cdot \frac{1 - 2(1 - \cos^2 A)}{2 \cos^2 A - 1}$$= 	an A \cdot \frac{1 - 2 + 2 \cos^2 A}{2 \cos^2 A - 1}$$= 	an A \cdot \frac{2 \cos^2 A - 1}{2 \cos^2 A - 1}$$= 	an A$

What is the value of $\frac{\sin A - 2 \sin^3 A}{2 \cos^3 A - \cos A}$?

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