If tanx=(b)/(a), find the value of \sqrt((a+b)/(a-b))+\sqrt((a-b)/(a+b )) in terms of x

Let's find at first 

Let's find (a+b)(a-b)....

we should divide both side of fraction by b and we will get the following:


and (a-b)/(a+b) is same as (1/[(a+b)/(a-b)]) so we can use previous answer and finally we will have (a-b)/(a+b) = 1/[ (tanx + 1) / (tanx - 1)] = (tanx - 1)/(tanx + 1) and final answer will be this:

What is the diagram u didn't post that