For theta(1), theta(2), ...., theta(n) i...

For `theta_(1), theta_(2), ...., theta_(n) in (0, pi/2)`, if In `(sec theta_(1)-tan theta_(1))+ "In" (sec theta_(2)-tan theta_(2))+...+"In" (sec theta_(n)-tan theta_(n))+ "ln" pi=0`, then the value of `cos((sec theta_(1)+ tan theta_(1))(sec theta_(2)+tan theta_(2))....(sec theta_(n)+tan theta_(n)))` is equal to

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