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If tan^(-1) y = 4 tan^(-1) x (|x| lt tan...

If `tan^(-1) y = 4 tan^(-1) x (|x| lt tan (pi)/(8))`. Find y as an algebraic function of x, and, hence, prove that `tan pi//8` is a root of the equation `x^(4) - 6x^(2) + 1= 0`

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