Trigonometry! 64

Geometry Level 4

If the area of a \(\Delta ABC\) is equal to \(a^{2} - (b-c)^{2}\) then find the value of \(\tan A\).

\(a\), \(b\) and \(c\) are sides opposite to angles \(A\), \(B\) and \(C\) respectively.

Express your answer in the form of \(\frac {x}{y}\) where \(x\) and \(y\) are coprime integers, and enter the value of \(x+y\).

This problem is part of the set Trigonometry.

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