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What is the opposite and reciprocal of 2pi?
opposite of any number is the same number but with opposite sign ∴opposite of ##color(blue)(2pi## is ##color(blue)(−2pi##
- to generalise, the reciprocal of number ##color(orange)(x##(any number) is ##color(orange)(1/x## here note that the sign of the number does not change at all .
so, the reciprocal of ##color(red)(2pi## is ##color(red)(1/(2pi)##