cosec θ – cot θ = p
∴ cosec θ – cot θ = \(\frac{1}{p}\) ……………….(1)
cosec θ + cot θ = p …………..(2)
(1) + (2), We get
2 cosec θ = p + \(\frac{1}{p}\) = \(\frac{p^2+1}{p^2-1}\) …………..(3)
cosec θ – cot θ = p
cosec θ – cot θ = \(\frac{1}{p}\)
(1) – (2), We get
Hence proved.