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##tan(2pi) =0##
In terms trigonometric functions ##2pi## is equivalent to ##0##.
Based on the unit circle an angle of ##0## has its terminal point on the positive X-axis ; the side opposite the angle has a length of ##0## (and the adjacent side has a length of ##1##)
##tan = (opposite)/(adjacent)##
##tan(2p) = tan(0) = 0/1 = 0##
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