If `tanx=(b)/(a)`, then find the value of `sqrt((a+b)/( a-b ))+sqrt((a-b)/(a+b)).`

Explanation

Given,`tanx=b/a`

using rationlization we get,

`sqrt((a+b)/(a-b​))
​+sqrt((a-b)/(a+b​))`

​=`(a+b+a−b​ )/(sqrt(a^2−b^2)
)`

=`(2a)/(sqrt(a^2−b^2))`
​=`2/(sqrt({1−(b/a)^2))}`

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