Practicing Success
$\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}} + \sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}$ = ________. |
2 sin θ 2 cos θ 2 cosec θ 2 sec θ |
2 cosec θ |
$\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}} + \sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}$ = $\sqrt{\frac{(1 + \cos \theta)(1 - \cos \theta)}{(1 - \cos \theta)(1 - \cos \theta)}} + \sqrt{\frac{(1 - \cos \theta)(1 + \cos \theta)}{(1 + \cos \theta)(1 + \cos \theta)}}$ = \(\frac{1 - cos θ}{sinθ}\) + \(\frac{1 + cos θ}{sinθ}\) = \(\frac{2}{sinθ}\) = 2cosecθ |