For Exercises 43–52, use De Moivre's theorem to find the indicated power. Write the result in rectangular form a + bi. (See Examples 7–8) 4715 4т + isin- 15 43. + isin- 44. COS cos 36 36 15 27 cos + isin 3 37 cos + isin- 8 45. 46. 3 8 47. [V3(cos 35° + isin35°)] 49. [2(cos 26.25° + i sin 26.25°) 51. (2V3 – 2i) 48. [V5(cos 60° + isin60°)] 50. [4(cos 33.75° + i sin33.75°)]* 52. (4 + 4V3i)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For Exercises 43–52, use De Moivre's theorem to find the indicated power. Write the result in rectangular form a + bi.
(See Examples 7–8)
4715
4т
+ isin-
15
43.
+ isin-
44.
COS
cos
36
36
15
27
cos + isin
3
37
cos + isin-
8
45.
46.
3
8
47. [V3(cos 35° + isin35°)]
49. [2(cos 26.25° + i sin 26.25°)
51. (2V3 – 2i)
48. [V5(cos 60° + isin60°)]
50. [4(cos 33.75° + i sin33.75°)]*
52. (4 + 4V3i)
Transcribed Image Text:For Exercises 43–52, use De Moivre's theorem to find the indicated power. Write the result in rectangular form a + bi. (See Examples 7–8) 4715 4т + isin- 15 43. + isin- 44. COS cos 36 36 15 27 cos + isin 3 37 cos + isin- 8 45. 46. 3 8 47. [V3(cos 35° + isin35°)] 49. [2(cos 26.25° + i sin 26.25°) 51. (2V3 – 2i) 48. [V5(cos 60° + isin60°)] 50. [4(cos 33.75° + i sin33.75°)]* 52. (4 + 4V3i)
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