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If tan x = b/a then sqrt((a+b)/(a-b)) + ...

If tan x = `b/a` then `sqrt((a+b)/(a-b)) + sqrt((a-b)/(a+b))` is equal to

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`sqrt((a+b)/(a-b)*(a+b)/(a+b))+sqrt((a-b)/(a+b)*(a-b)/(a+b))`
`sqrt((a+b)^2/(a^2-b^2))+sqrt((a-b)^2/(a^2-b^2))`
`(a+b+a-b)/sqrt(a^2-b^2`
`(2a)/sqrt(a^2-b^2)`
`(2a)/(asqrt(1-b^2/a^2))`
`2/sqrt(1-b^2/a^2)`
`2/sqrt(1-tan^2x)`
`2/(1-(sin^2x)/cos^2x)`
...
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