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Answer»

Sin(cot^-1(x+1)=cos(tan^-1(x)

=>sin(sin^-1(1/sqrt(x^2+2x+2)))=cos(cos^-1(1/sqrt(1+x^2)))

=> 1/sqrt(x^2+2x+2)=1/sqrt(1+x^2)

=> x^2+2x+2 = 1+x^2

=> 2x+1 = 0

Solving the above equation we get x=-1/2.

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