Question

Find the value- power of(1+i/1-i) is 4n+1, where n belongs to natural number​

Answer 1

Answer:

(1−i1+i)x=L

1−i1+i×1+i1+i=1−i21+i2+2i=1+11−1+2i=22i

1−i1+i=i

then

(1−i1+i)x=(i)x=1

(i)x=(i)4 or (i)8 or (i)12 or (i)4n

x=4n for n∈I.

so the given statement 4n+1 is wrong