Question

(1 + i / 1 - i )^4n+1and if n is a positive integer​

Answer 1

Answer:

Sqr_root(-1) = i

. I*i = i^2 = -1 by definition of square root

Similarly, i^3 = -i and i^4=1

Now i^5 =i and this continues with a period of 4.

Now. (- i) ^4n + 3 is equivalent to (-i)^3

=> The answer is -(i)^3 = -(-i) = i.

HOPE IT HELPS ^_^

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