Question

prove using trigo identity ​

Answer 1

Explainations

1. Take L.C.M of denominator inside curly brackets.

2. Expand (1 + cos∅)² by (a + b)² identity.

3. Remember that cos²∅ = 1 - sin²∅.

4. Here, sin²∅ gets cancelled out.

5. Take 2 common from 2 + 2 cos∅.

6. Now, 2 and 1 + cos∅ gets cancelled out.

7. We get finally 1/sin∅ = 1/sin∅. We get L.H.S = R.H.S.

Hence Proved