1.

The value of x that satisfies tan^(-1)(tan -3)=tan^(2)x is

Answer»

`(pi)/(3)`
`-(pi)/(3)`
`SQRT(TAN^(-1)3)`
`none of these

Solution :We have
`tan^(-1)(tan-3)=tan^(-1)tan(3-pi))=3-pilt0`
and `tan^(2)ge0`
`THEREFORE tan^(-1)(tan3)=tan^(-1) x` has no solution


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