`2TAN^(-1)x=sin^(-1)((2X)/(1+x^(2)))," when "abs(x) le 1``2sin^(-1)x=sin^(-1)[2xsqrt((1-x^(2)))]," when "(-1)/sqrt(2) lt x lt 1/sqrt(2)``2tan^(-1)x=sin^(-1)((2x)/(1+x^(2)))," when "x GT 1``2tan^(-1)x=sin^(-1)((2x)/(1+x^(2)))," when "x lt -1`
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