Question Detail
Question
Express \( e^{(1 - \frac{\pi}{4}i)} \) as a product
Correct Answer
Option B is the correct answer.
Detailed Explanation
e^(1 - iπ/4) = e¹ * e^(-iπ/4) = e * (cos(π/4) - i sin(π/4)) = e * (√2/2 - i√2/2) = (e/√2)(1 - i).
Hint
Recall Euler's formula: e^(iθ) = cosθ + i sinθ, and e^(a + ib) = e^a * e^(ib).