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

Use De Moivre's Theorem to find (2, cis,30°)3.

1. 8, cis,90°
2. 6, cis,90°
3. 8, cis,30°
4. 2, cis,90°

Answer

A. 8, cis,90°

Solution

23, cis(3×30°)=8, cis,90°.

More Complex Numbers: Polar and Exponential Form questions

1. Evaluate i,i (principal value).
2. Find all fourth roots of -16.
3. Write 1+i 3/1-i in polar form.
4. Find the product (2, cis,40°)(3, cis,80°).
5. Simplify ( 15°+i 15°)8.
6. Evaluate (1+i)10.
7. Evaluate eiπ.
8. Write -1+i in polar form.
9. Write 4+4i in polar form.
10. Convert 10 60° to rectangular form.

All Complex Numbers: Polar and Exponential Form questions