Question

find the value of cosec^2 theta (1 +cos theta) (1-sin theta)​

Answer 1

I hope my answer is correct

Answer 2

Answer:

${cosec}^{2} \theta \: (1 + cos \theta) \: (1 - sin \theta) \\ = \frac{ (1 + cos \theta) \: (1 - sin \theta)}{ {sin}^{2} \theta } \\ = \frac{ (1 + cos \theta) \: (1 - sin \theta)}{1 - {cos}^{2} \theta } \\ = \frac{ (1 + cos \theta) \: (1 - sin \theta)}{(1 - {cos}\theta) \times (1 + {cos}\theta)} \\ = \frac{ (1 - sin \theta)}{(1 - {cos}\theta) }$