Question

Which pair represents the same complex number?

Answer 1

1-i and sqrt2cos(-pi/4)+isin(-pi/4)) is what mine said but it wasn't on here with the avalible options.

Explanation

Answer 2

For this case we have the following complex number:
1 + i
Its equivalent pair is given by:
root (2) * (cos (pi / 4) + i * sin (pi / 4))
Rewriting we have:
root (2) * (root (2) / 2 + i * (root (2) / 2))
(2/2 + i * (2/2))
(1 + i)
Answer:
option A represents a pair with the same complex number