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Find the value of x is ,if Sin[Sin^(-1)...

Find the value of x is ,if `Sin[Sin^(-1)((x)/(5))+Cos^(-1)((3)/(5))]=1`

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The value of x satisfying the equation (sin^(-1)x)^(3)-(cos^(-1)x)^(3)+(sin^(-1)x)(cos^(-1)x)(sin^(-1)x-cos^(-1)x)=(pi^(3))/(16) is :