Question

(1 - cos^2 ) cosec = 1​

Answer 1

Step-by-step explanation:

To prove: (1 - cos²θ)cosec²θ = 1

LHS = (1 - cos²θ)cosec²θ

= sin²θ × cosec²θ

$= sin²θ \times \frac{1}{sin²θ }$

$= 1$

= RHS

Hence proved