Prove the following identity: `(1-s in AcosA)/(cos A(s e c A-cos e c A))dot(sin^2A-cos^2)/(sin^3A+cos^3A)=sinA`

Explanation

To prove the identity

\[ \frac{(1 - \sin A \cos A)}{\cos A (\sec A - \cos \sec A)} \cdot \frac{\sin^2 A - \cos^2 A}{\sin^3 A + \cos^3 A} = \sin A \]

we will simplify the left-hand side (LHS) step by step.

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