Question

Prove the following trigonometric identities:

`(1 - cos^2 A) cosec^2 A = 1`

Answer 1

We know `sin^2 A + cos^2 A = 1`

`sin^2 A = 1 - cos^2 A`

`=> sin^2 A . cosec^2 A`

`=> sin^2 A . 1/(sin^2 A) = 1`

∴ L.H.S = R.H.S