Question

cosθ/cosecΘ+1+cosθ/cosec-1=2

Answer 1

HELLO DEAR,


i think something mistake in your questions

write questions is like that:-


cosθ/cosecΘ+1+cosθ/cosecθ-1=2tanθ
$\frac{cos \alpha }{cosec \alpha + 1} + \frac{cos \alpha }{cosec - 1} \\ \\ = > \frac{cos \alpha (cosec \alpha - 1) + cos \alpha (cosec \alpha + 1)}{(cosec \alpha +1 )(cosec \alpha - 1)} \\ \\ = > \frac{cos \alpha \times \frac{1}{sin \alpha } - cos \alpha + cos \alpha \times \frac{1}{sin \alpha } + cos \alpha }{ {(cosec}^{2} \alpha - 1) } \\ \\ = > \frac{cot \alpha - cos \alpha + cot \alpha + cos \alpha }{ {cot}^{2} \alpha } \\ \\ = > \frac{2cot \alpha }{ {cot}^{2} \alpha } \\ \\ = > \frac{2}{cot \alpha } \\ \\ = > 2tan \alpha$

I HOPE ITS HELP YOU DEAR,
THANKS