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

Write 4+4i in polar form.

1. 4 2, cis,45°
2. 8, cis,45°
3. 4 2, cis,90°
4. 4, cis,45°

Answer

A. 4 2, cis,45°

Solution

r=sqrt(42+42)=4 2. = ≤ft( 44 )=45°. Polar form: 4 2, cis,45°.

More Complex Numbers: Polar and Exponential Form questions

1. Convert 10 60° to rectangular form.
2. Find the polar form of -3+3i.
3. Multiply using polar form: (2, cis,30°)(3, cis,60°)
4. Divide using polar form: 12, cis,80°4, cis,20°
5. Use De Moivre's Theorem to find (2, cis,30°)3.
6. Evaluate i,i (principal value).
7. Find all fourth roots of -16.
8. Write 1+i 3/1-i in polar form.
9. Find the product (2, cis,40°)(3, cis,80°).
10. Simplify ( 15°+i 15°)8.

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