1.

If `tanx=b/a ,`then `sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))`is equal to(a)`2sinx//sqrt(sin2x)`(b) `2cosx//sqrt(cos2x)`(c)`2cosx//sqrt(sin2x)`(d) `2sinx//sqrt(cos2x)`

Answer» `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)`
`2/(((cos^2x-sin^2x)^(1/2))/cosx)`
`(2cosx)/sqrt(cos2x)`.


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