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Find the value of: tan(1/2 [sin^(-1)((2x...

Find the value of: `tan(1/2 [sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-y^2)/(1+y^2))]),|x|<1, y >0`and `x y < 1`

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To find the value of \[ \tan\left(\frac{1}{2} \left[\sin^{-1}\left(\frac{2x}{1+x^2}\right) + \cos^{-1}\left(\frac{1-y^2}{1+y^2}\right)\right]\right) \] given the conditions \(|x| < 1\), \(y > 0\), and \(xy < 1\), we can follow these steps: ...
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