Question

Prove that (1+cosec a) /cosec a = (cos^2 a) /(1-sin a)​

Answer 1

Answer:

Step-by-step explanation:

(1 + cosec a) / cosec a = (1 + (1 / sina)) / (1 / sina) = ((1 + sina) / sina) / (1 / sina)

= (1 + sina) = ((1 + sina)(1 - sina)) / (1 - sina) = (1 - sin^2 a) / (1 - sina)

= (cos^2 a) / (1-sin a)​