Question

(
1-cos^2a)cosec^2a=1

Answer 1

We know that,

sin²A + cos²A = 1

So,

1 - cos²A = sin²A

Putting this value in question.

$LHS:\\\\(sin^2A)cosec^2A\\\\=(sin^2A)\frac{1}{sin^2A}\\ \\= 1\\\\LHS =RHS$

Hence, proved.