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
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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