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Question Number 146044 by mathdanisur last updated on 10/Jul/21

$$Simplify:$$$$\frac{{sin}^3\alpha }{1-cos\alpha }+\frac{{cos}^3\alpha }{sin\alpha +1}=?$$

Answered by liberty last updated on 10/Jul/21

$$\Rightarrow \frac{(1-\cos {}^2\alpha )\sin \alpha }{1-\cos \alpha }+\frac{(1-\sin {}^2\alpha )\cos \alpha }{1+\sin \alpha }$$$$=\sin \alpha (1+\cos \alpha )+\cos \alpha (1-\sin \alpha )$$$$=\sin \alpha +\cos \alpha$$

Commented by mathdanisur last updated on 10/Jul/21

$$thankyouSer$$

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