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

Evaluate i,i (principal value).

1. 4.8105
2. 1.5708
3. -0.2079
4. 0.2079

Answer

D. 0.2079

Solution

i=eiπ/2, so i,i=ei· iπ/2=e-π/2 0.2079.

More Complex Numbers: Polar and Exponential Form questions

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

All Complex Numbers: Polar and Exponential Form questions