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tan^(- 1)(1/(sqrt(x^2-1))),|x|gt1...

`tan^(- 1)(1/(sqrt(x^2-1))),|x|gt1`

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`tan^(-1)""(1)/(sqrt(x^(2)-1)) " " Letx=cosec theta implies theta =cosec^(-1) x `
`=tan^(-1)""(1)/(sqrt("cosec"^(2)theta-1))=tan^(-1)((1)/(cot theta ))`
`=tan^(-1)(tan theta)=theta=cosec^(-1)x`
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