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TrigonometryChallengeInverse Trigonometric Functions

Inverse Trigonometric Functions · Challenge problem

Find the sum of the squares of all real solutions of arctan⁡(x−1)+arctan⁡x+arctan⁡(x+1)=arctan⁡3x\arctan(x-1)+\arctan x+\arctan(x+1)=\arctan3x.