Question

Prove the following trigonometric identities:
(1-cos²A)cosec²A=1

Answer 1

1 - cos square A is equal to sin square A. cosec squared A is equal to 1 by sin square A so sin A * 1 by sin squared A is equal to 1 ..I hope it helps us..

Answer 2

we know that

$1 - {cos}^{2} \alpha = {sin \alpha }^{2}$

therefore

cose2A× 1

cosec2A

=1

HENCE PROVED

Hope it helps you

MARK AS BRAINLIEST ANSWER