Problem 10.1 8 Represent the following complex number in polar form. 2 + 2√3i
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- Find the complex numbers in the form of z = a + bi such that zz*= 100 and a+b= 14. Note: answers and operations in problem three should be in rectangular form.Solve the following complex numbers in their rectangular form. 1. Z3Z2 Where in Z2 = 5e2i and Z3 = 4 cos 40°Obtain the complex number cos (1 + i).
- Find the roots of the given complex number 1. z^3 = 2 – 3iGiven the complex numbers z = 8 (cos(8π/15) + i sin(8π/15)) w = 1/2 (cos(17π/15) + i sin(17π/15)) Find zw and give your answer in Cartesian formProblem 4 .- Let the phasor be of magnitude 10 and angle pi/4Obtain its compact representation by the form eiΘ and what are its coordinates in the complex plane in terms of its projections on the real (x) and imaginary (y) axes?
- Plot the complex number z4 = (√3/2+1/2i)^20 in the Argand diagram.Use Definition 17.1.2 to find a complex number z satisfying the given equation.ps. Complete solutions. TY1. Solve a and b a) Convert the given complex number form z = 4+7i into polar form? b) Using De Moivre’s theorem determine z = 3+6i raise to the 4 power?
