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

Write 1+i 3/1-i in polar form.

1. sqrt(2), cis,15°
2. sqrt(2), cis,105°
3. 2 sqrt(2), cis,105°
4. 2, cis,105°

Answer

B. sqrt(2), cis,105°

Solution

1+i 3=2, cis,60° and 1-i= 2, cis,(-45°). Divide the moduli and subtract the angles: 2/ 2= 2 and 60°-(-45°)=105°.

More Complex Numbers: Polar and Exponential Form questions

1. Find the product (2, cis,40°)(3, cis,80°).
2. Simplify ( 15°+i 15°)8.
3. Evaluate (1+i)10.
4. Evaluate eiπ.
5. Write -1+i in polar form.
6. Write 4+4i in polar form.
7. Convert 10 60° to rectangular form.
8. Find the polar form of -3+3i.
9. Multiply using polar form: (2, cis,30°)(3, cis,60°)
10. Divide using polar form: 12, cis,80°4, cis,20°

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