Question

Prove that: 1+sin theta/cosec theta - cot theta
- 1 - sintheta/cosec theta +cot theta =2(1+cot theta)

Answer 1

Answer:

by taking L.C.M we can do this

Step-by-step explanation:

Answer 2

$\frac{1 + sin \theta}{cosec \theta - cot \theta} - \frac{1 - sin \theta}{cosec \theta + cot \theta} \\ \\ = (1 + sin \theta)(cosec \theta - cot \theta) - (1 - sin \theta)(cosec \theta - cot \theta) \\ \\ = cosec \theta - cot \theta + 1 - sin \theta cot \theta - cosec \theta + cot \theta + 1 - sin \theta cot \theta \\ \\ = 2 + 2cot \theta \\ \\ = 2(1 + cot \theta)$