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Can you answer question 3 I network theory 2 3) Write the complex numbers in polar...
Question 3.1 (10 marks) Consider the two complex numbers-V3+i and 2 3 cis(-/3) a) Write 1V3+i in polar form, in terms of its principal argument. b) Use your answer in a) to evaluate z1/21 in polar form, and then convert that into cartesian form. c) Using their polar forms, determine z122 and z2/句in terms of their principal argument. d) Determine (22)2 in polar form, in terms of its principal argument. e) Determine all distinct values of (22)1/3 in polar form,...
Question 3 (a) Write the following complex numbers z + iy in polar form z+ iy re giving the angle θ as the sum of its principal argument, (chosen to lie in-r < θ,-r) and an integer multiple of 2π. That is, write θ as θ θp + 2km where k-0, 1, 2, +2Tk +2T k +2T (b) Compute all three values of i1/S and write your answers in the form a + iy.
3. Complex numbers and math a) Express z=-6 8 in polar form b) Express -1 in polar form c Express z--3e in rectangular form. d) Express z-(2+j) in rectangular form. e) For the two complex numbers z, (6-j4) ad z(-2+j1) determine in polar form. f) lf z=(-84%) determine Teal! (z*)"! in polar form.
2. (a) Express each of the following complex numbers in polar form (i) i ( ii) /3 - 3i (iii) -3-V3i 42 b) For each of the complex numbers in part (a), id and
Question 1:
Plot the complex number. Then write the complex number in polar form. Express the argument as an angle between 0 and 360° 2+4 i Almaginary Plot the complex number. OS - z= (cos + i sin D) Type an exact answer in the first answer box. Type all degree measures rounded to one decimal place as needed.)
Plot the complex number on the complex plane and write it in polar form and in exponential form. 3-41 Plot the complex number on the complex plane. Write the complex number 3 - 4 i in polar form. Select the correct choice below and fill in the answer box(es) within your choice. (Simplify your answer. Type an exact answer for r, using radicals as needed. Type any angle measures in radians, rounding to three decimal places as needed. Use angle...
Problem 2. (5 points each question). Convert the rectangular form of complex numbers to the polar form 1. Z_rect = -5 - 8i Z_pol = 2. Z_rect = 2 - 71 Z_pol = 3. Z_rect = -8 + 4i Z pol- 4. Z_rect = -13.22 + 7.65i Z_pol =
21 Find the quotient 22 of the complex numbers. Leave your answer in polar form. 1 2 =${cos + i sin Z2 = COS i sin 10 10 21 22 (Simplify your answer. Use integers or fractions for any numbers in the expression. Type =
your steps. Make sure you write the final answer in polar form and do write the magnitude and angle of your answer. Question 1 1 pts Find (4 +j2)(2+j5)/(625) D Question 2 9 pts You can write the steps of the solution here. You can make the use of operators and symbols available under "math Equation" The steps shown here can earn you partial credit. Do write the final answer in polar form here. You can get the symbol for...
find all complex roots of w=125(cos150+i sin150) write the roots in
polar form
Find all the complex cube roots of w=125( cos 150° + i sin 150°). Write the roots in polar form with in degrees. zo= cos 1°+ i sin º) (Type answers in degrees. Simplify your answer.) z = cos 1° + i sin º) (Type answers in degrees. Simplify your answer.) 22- cosº + i sin º) (Type answers in degrees. Simplify your answer.) Enter your answer...