Question

Prove that . 1+cot2 theta = cosec2theta​

Answer 1

see explanation

Explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

`(sin^20)/(sin^20)` +
`(cos^20)/(sin^20)` =
`(1)/(sin^20)` , that is

1 + cot²θ = cosec²θ ← as required