Where TRIGONOMETRY meets NUMBER THEORY

Determine the maximum power of 2 that divides

\[(1+tan 1)(1+tan 2 )(1+tan 3).....(1+tan 42)(1+tan 43)(1+tan 44)\]

DETAILS AND ASSUMPTIONS:

Here x represents x Degrees not x Radians. eg. tan 17 means tan 17 Degrees.

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