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25.sin^(-1)x+tan^(-1)x=(pi)/(2)...

25.sin^(-1)x+tan^(-1)x=(pi)/(2)

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If sin^(-1)x+tan^(-1)x=(pi)/(2) , prove that : 2x^(2)+1=sqrt(5)

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If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),,cot^(-1)((x)/(pi))):}] B = (1)/(pi) [{:(-cos^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/(pi)),,-tan^(-1)((x)/(pi))):}] then A - B is equal to