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If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) ...

If `sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab))`,
then prove that `b^(2)x^(2)+2xy sqrt(a^(2)b^(2)-c^(4)) +a^(2)y^(2)=c^(4)`

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