Download 6.05 Complex Numbers in Trigonometric Form And DeMoivre`s

6.05 Complex Numbers in Trigonometric Form
And DeMoivre's Theorem for Roots
To Be Submitted: Problems 12, 32, 48, 58, 72, 96
12. Represent the complex number graphically, and find the trigonometric form of the
number.
32. Represent the complex number graphically, and find the standard form of the number.
48. Perform the operation and leave the result in trigonometric form.
58. Perform the operation and leave the result in trigonometric form.
72. Use DeMoivre’s Theorem to find the indicated power of the complex number.
Express the result in standard form.
96. A. Use the theorem below to find the indicated roots of the complex number.
B. Represent each of the roots graphically.
C. Express each of the roots in a standard form.
For a positive integer n, the complex number z = r(cos + i sin ) has exactly n distinct
nth roots given by…
Where k = 0, 1, 2, … , n-1