If tan x+tan y=(sec x+sec y)/(cos x+cos ...

If `tan x+tan y=(sec x+sec y)/(cos x+cos y).(dy)/(dx)` then which of the following is correct
(1) `sec(x+y)-tan(x+y)=x+c`
(2) `sec(x+y)+tan(x+y)=x+c`
(3) `tan(x+y)-sec(x+y)=x+c`
(4) None of these

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