This is the basic and conceptual question from trigonometric identities in which we have given that (cosecθ+cotθ)=m and also (cosecθ-cotθ)=n

We have to prove that mn = 1 using trigonometric formulas

RS Aggarwal, Class 10, chapter 13B, question no 5

Given : cosecθ+cotθ=m and cosecθ−cotθ=n

multiply both the equations we get,

## =(cosecθ+cotθ)(cosecθ−cotθ)

=cosec²θ − cot²θ

=1……(As cosec²θ − cot²θ = 1)

=mn