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

Write -1+i in polar form.

1. sqrt(2), cis,135°
2. sqrt(2), cis,45°
3. sqrt(2), cis,225°
4. 2, cis,135°

Answer

A. sqrt(2), cis,135°

Solution

r=sqrt(1+1)= 2. The point (-1,1) is in Quadrant II, so =180°-45°=135°.

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7. Evaluate i,i (principal value).
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9. Write 1+i 3/1-i in polar form.
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