49-56 - Products and Quotients of Complex Numbers Find the product z,22 and the quotient z,/22. Express your answer in polar form 49. 2 = 3 cos + i sin 22 = 2 cos +i sin 50. z = V3 cos + i sin 4 22 = 2( cos 7 + i sin 7) 4 51. :, - va(cos 51. 21= + i sin 3 3 22 = 2V2| cos + i sin 2 37 3 52. z, = cos +i sin 4 = cos + i sin 3 53. z, = 4(cos 120° + i sin 120°), 2, = 2(cos 30° + i sin 30°) 54. z, = V2(cos 75° + i sin 75°), z = 3V2(cos 60° + i sin 60°) 55. z1 = 4(cos 200° + i sin 200°), 22 = 25(cos 150° + i sin 150°) 56. z1 = (cos 25° +i sin 25°), z2 = (cos 155° + i sin 155°)

49-56 - Products and Quotients of Complex Numbers Find the product z,22 and the quotient z,/22. Express your answer in polar form 49. 2 = 3 cos + i sin 22 = 2 cos +i sin 50. z = V3 cos + i sin 4 22 = 2( cos 7 + i sin 7) 4 51. :, - va(cos 51. 21= + i sin 3 3 22 = 2V2| cos + i sin 2 37 3 52. z, = cos +i sin 4 = cos + i sin 3 53. z, = 4(cos 120° + i sin 120°), 2, = 2(cos 30° + i sin 30°) 54. z, = V2(cos 75° + i sin 75°), z = 3V2(cos 60° + i sin 60°) 55. z1 = 4(cos 200° + i sin 200°), 22 = 25(cos 150° + i sin 150°) 56. z1 = (cos 25° +i sin 25°), z2 = (cos 155° + i sin 155°)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.3: Polar Form Of Complex Numbers; De Moivre's Theorem

Problem 55E: 49-56 Product and Quotients of Complex numbersFind the product z1z2 and the quotient z1/z2. Express...

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