If tan A = 1 and tan \(B = \sqrt 3 \) then value of cos (A + B) is

If tan A = 1 and tan \(B = \sqrt 3 \) then value of cos (A + B) is
1). \(\frac{{1 + \sqrt 3 }}{{2\sqrt 2 }}\)
2). \(\frac{{1 - \sqrt 3 }}{{\sqrt 2 }}\)
3). \(\frac{{1 - \sqrt 3 }}{{2\sqrt 2 }}\)
4). \(\frac{{1 + \sqrt 3 }}{4}\)

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