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

Find the polar form of -3+3i.

1. 3 2, cis,135°
2. 3 2, cis,45°
3. 3, cis,135°
4. 3 2, cis,225°

Answer

A. 3 2, cis,135°

Solution

r=sqrt(9+9)=3 2. Since the point is in the second quadrant, =180°-45°=135°. Polar form: 3 2, cis,135°.

More Complex Numbers: Polar and Exponential Form questions

1. Multiply using polar form: (2, cis,30°)(3, cis,60°)
2. Divide using polar form: 12, cis,80°4, cis,20°
3. Use De Moivre's Theorem to find (2, cis,30°)3.
4. Write 4+4i in polar form.
5. Convert 10 60° to rectangular form.

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