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If A+B=π4A+B = \frac{\pi}4 A+B=4π, find the value of (1+tanA)(1+tanB) (1 +\tan A )(1 +\tan B ) (1+tanA)(1+tanB).
Note: A,B≠π2+πnA,B\ne \frac\pi2 + \pi nA,B=2π+πn for integer nnn.
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