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Write the value of tan^(-1)x+tan^(-1)(1/...

Write the value of `tan^(-1)x+tan^(-1)(1/x)` for `x >0`

Text Solution

Verified by Experts

Given,
`tan^(-1)x+tan^(-1)(1/x)`
`=>tan^(-1)[(x+1/x)/(1-x(1/x))]`
`=>tan^(-1)[(x+1/x)/(1-1)]`
`=>tan^(-1)[(x+1/x)/0]`
`=>tan^(-1)(oo)`
`=>(pi)/2`
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