(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

tan^{-1}[2x/(1-x^{2})]+cot^{-1}[(1-x^{2})/2x]=2π/3

2. The attempt at a solution

tan^{-1}[2x/(1-x^{2})]+cot^{-1}[(1-x^{2})/2x]=2π/3

tan^{-1}[2x/(1-x^{2})]=2π/6

take tan on both sides

2x/(1-x^{2}) =sqrt(3)

quadratic equation so it should have 2 solutions(sqrt(3) and sqrt(1/3)).But this question has four solution.. Where am i missing solutions. Can you please help me to figure out the error..

thanks

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vikash

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# How to solve this inverse trigonometry question

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