Evaluate tan^-1(a - b)/(1+ab)+ tan^-1(b - c)/(1+bc)+ tan^-1(c - a)/(1+cb) ; ab,bc,ac>-1

-1

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2π

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Solution

The correct option is C
2π

tan^-1(a - b)/(1+ab)+ tan^-1(b - c)/(1+bc)+ tan^-1(c - a)/(1+cb)

= (tan^-1a - tan^-1b) + (tan^-1b - tan^-1c) + (tan^-1c - tan^-1a)
= 0

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Similar questions

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