Question

✓1+cos/1-cos + ✓1-cos/1+cos

Answer 1

cos=2



right answer it is

Answer 2

Answer:

$\frac{ \sqrt{1 + \cos \alpha } }{1 - \cos \alpha } + \frac{ \sqrt{1 - \cos \alpha } }{1 + \cos \alpha } \\ = \frac{ \sqrt{1 + \cos \alpha } (1 + \cos \alpha ) + \sqrt{1 - \cos \alpha } (1 - \cos \alpha }{(1 - \cos \alpha )(1 + \cos \alpha ) } \\ = \frac{ \sqrt{1 + \cos \alpha } \sqrt{(1 + \cos \alpha ) {}^{2} } + \sqrt{1 - \cos \alpha } \sqrt{(1 - \cos{ \alpha })^{2} } }{1 - \cos^{2} \alpha } \\ = \frac{ \sqrt{(1 + \cos \alpha ) (1 + \cos \alpha ) {}^{2} } + \sqrt{(1 - \cos\alpha )(1 - \cos \alpha ) {}^{2} } }{1 - \cos{}^{2} \alpha } \\ = \frac{ \sqrt{(1 + \cos \alpha ) {}^{3} } + \sqrt{(1 - \cos{ \alpha })^{3} } }{1 - \cos {}^{2} \alpha } \\ = \frac{(1 + \cos \alpha ) {}^{ \frac{3}{2} } + (1 - \cos \alpha ) {}^{ \frac{3}{2} } }{1 - \cos {}^{2} \alpha }$