2.1.1 Powers of imaginary unit i
Chapter 2: Chapter 2 · MATHEMATICS-VOLUME 1 · EN medium
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We note that, for any integer n , i n has only four possible values: they correspond to values of n when divided by leave the remainders , , , and .That is when the integer n or using division algorithm, n can be written as n q q are integers and we write q k q q q ( ) ( ) Example . Simplify the following (i) i (ii) i (iii) i − + i (iv) i n (v) i i (i) i ; (ii) i (iii) i ( ) ( ) x' y' - - -
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 61
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We note that, for any integer n , i n has only four possible values: they correspond to values of n when divided by leave the remainders , , , and .That is when the integer n or using division algorithm, n can be written as n q q are integers and we write q k q q q ( ) ( ) Example . Simplify the following (i) i (ii) i (iii) i − + i (iv) i n (v) i i (i) i ; (ii) i (iii) i ( ) ( ) x' y' - - -
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