Simplify-sin-3-1-cos-cos-3-sin-1-

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

S i m p l i f y :

\frac{{s i n}^{3} α}{1 - c o s α} + \frac{{c o s}^{3} α}{s i n α + 1} = ?

Answered by liberty last updated on 10/Jul/21

\Rightarrow \frac{(1 - \cos^{2} α) \sin α}{1 - \cos α} + \frac{(1 - \sin^{2} α) \cos α}{1 + \sin α}

= \sin α (1 + \cos α) + \cos α (1 - \sin α)

= \sin α + \cos α

Commented by mathdanisur last updated on 10/Jul/21

t h a n k y o u S e r