1.

P.T. tan-1 – cot-1 x = π/2 ∀ x ∈ R

Answer»

Let tan-1 x = y 

x = tan y = cot (π/2 - y) 

cot-1 x = π/2 - y 

cot-1 x + y = π/2

cot-1 x – tan-1 x = π/2



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