Question

Prove the following trigonometric identities

(1 + cot² A) sin² A = 1

Answer 1

We know that `cosec^A - cot^2 A = 1`

So,

`(1 + cot^2 A)sin^2 A = cosec^2 A sin^2A`

`= (cosec A sin A)^2`

`= (1/sin A xx sin A)^2`

`= (1)^2`

= 1