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Prove that Cot^-1(x) + Cot ^-1(a^2-x+1) = Cot^-1(a-1)

Prove that Cot^-1(x) + Cot ^-1(a^2-x+1) = Cot^-1(a-1) 

Grade:12

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
as we know tan-1x = cot-1(1/x) so first convert angles in terms of tan-1 and then use
tan-1x+tan-1y = tan-1(x+y/1-xy)

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