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`(x-1)(1-y)`

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Prove that: tan^(-1)((1-x)/(1+x))-tan^(-1)((1-y)/(1+y))=sin^(-1)((y-x)/(sqrt((1+x^2) (1+y^2))))

Prove that: tan^(-1)((1-x)/(1+x))-tan^(-1)((1-y)/(1+y))=sin^(-1)((y-x)/(sqrt((1+x^2)(1+y^2))))

Prove that: tan^(-1)((1-x)/(1+x))-tan^(-1)((1-y)/(1+y))=sin^(-1)((y-x)/(sqrt((1+x^(2))(1+y^(2)))))

The number of solution of y'=(x+1)/(x-1),y(1)=2 , is

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If sec^(-1) x = cosec^(-1) y , then find the value of cos^(-1).(1)/(x) + cos^(-1).(1)/(y)

If sec^-1x=cosec^-1y ,then cos^(- 1)(1/x)=cos^(- 1)(1/y)=

If "cosec"^(-1)x=sec^(-1)y , then the value of ("sin"^(-1)(1)/(x)+"sin"^(-1)(1)/(y)) is -