Question

1+cot^2(alpha)=cosec^2(alpha)​

Answer 1

see explanation

Explanation:

Using the Pythagorean identity

sin²α + cos²α = 1 ( divide each term by sin²α )

`(sin^2\alpha )/(sin^2\alpha )` +
`(cos^2\alpha )/(sin^2\alpha )` =
`(1)/(sin^2\alpha )` , that is

1 + cot²α = cosec²α ← as required