Question

4) Evaluate the following" (1 - i) * (1 + i) ^ - 1 A) 1 B)2 C) i D)-1​

Answer 1

Answer:

For n is positive integer, 4n+1 is an odd integer(5,9,13,....)

Now,

(

1−i

1+i

)

4n+1

⟹(

(1−i)(1+i)

(1+i)(1+i)

)

4n+1

⟹(

1−(i

2

)

(1−1+2i

)

4n+1

⟹(

2

2i

)

4n+1

⟹(i)

4n+1