Multiple choice

Which of the following represents the real part of ee^iθ?

  1. eCosθ (Sin(Sinθ))

  2. eCosθ (Cos(Sinθ))

  3. eSinθ (Sin(Cosθ))

  4. eSinθ (Cos(Cosθ))

  5. none of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

e^iθ = (Cosθ + i Sinθ) (According to De Moiver's theorem) Now, it will become e(Cosθ + i Sinθ) = (eCosθ)(eiSinθ) Now, eiSinθ = Cos(Sinθ) + iSin (Sinθ) So, it will become eCosθ (Cos(Sinθ) + iSin (Sinθ)) eCosθ (Cos(Sinθ)) + ieCosθ Sin (Sinθ) Real part is eCosθ (Cos(Sinθ)) (Correct Answer)

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