Question

\( (\frac{1+i}{1-i})^{228}\)

• A. \( -4(\frac{1-i}{1+i})^{226} \)
• B. \( 4(\frac{1-i}{1+i})^{226} \)
• C. \( (\frac{1-i}{1+i})^{228} \)
• D. \( -(\frac{1-i}{1+i})^{228} \)

Hint:

Memorize the standard simplifications: \(\frac{1+i}{1-i} = i\) and \(\frac{1-i}{1+i} = -i\). These frequently appear in complex number problems and save significant calculation time.

Answer 1

The Correct Option is C