Engineering Board Exam Reviewer · Complex Numbers: Polar and Exponential Form · easy

Evaluate eiπ.

1. 1
2. -1
3. i
4. -i

Answer

B. -1

Solution

By Euler's formula, eiπ= π+i π=-1+0i=-1.

More Complex Numbers: Polar and Exponential Form questions

1. Write -1+i in polar form.
2. Write 4+4i in polar form.
3. Convert 10 60° to rectangular form.
4. Find the polar form of -3+3i.
5. Multiply using polar form: (2, cis,30°)(3, cis,60°)
6. Divide using polar form: 12, cis,80°4, cis,20°
7. Use De Moivre's Theorem to find (2, cis,30°)3.
8. Evaluate i,i (principal value).
9. Find all fourth roots of -16.
10. Write 1+i 3/1-i in polar form.

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