Question

1+cot²A/1+cosecA=cosecA​

Answer 1

Answer:

Step-by-step explanation:

Send 1 on other side

Now

Cot^2/(1+cosec^2) = (cosec-1)

Cross multiply

Cot^2 = (cosec-1)x(cosec+1)

Cot^2 = cosec^2 - 1 [since (a+b)x(a-b) = a^2-b^2]

Therefore

Cot^2 = Cot^2 [ since cosec^2-1= cot^2]

Hence proved