Please see the attached file.
1) Express each of the following as a complex number in the Euler form z = r e^ftheta or using the phasor notation z = r <theta
[which is an abbreviation for the pola form z = r(cos theta + j sin theta) J:
a. ((square root 3) - j)(1 + j(square root 3))) / (1 - j)
b. square root(12 - 9j) (principal square root only)
2) a) Use deMoivre's Theorem to express tan 4theta in the form of a ratio of functions which involve powers of tan theta;
b) Show that j^j = (square root - 1)^(square root - 1) is real and find its principal value.© BrainMass Inc. brainmass.com March 4, 2021, 8:32 pm ad1c9bdddf
The following solution shows how to express complex numbers in Euler form and uses deMoivre's theorem to solve. The solution is enclosed within a .zip file which is attached.