In Problems 43–54, write each expression in the standard form a + bi. 43. [4(cos 40° + i sin 40°) ]³ 44. [3(cos 80° + i sin 80°) ]³ 45. + i sin cos 5m 46. + i sin 47. [V3 (cos 10 + i sin 10°) ]° 48. (cos 72° + i sin 72°) cos 16 16 SECTION 9.3 The Complex Plane; De Moivre's Theorem 595 37 49. V5 + i sin 18 18 51. (1 - i)s cos + i sin 50. cos 16 16 52. (V3 - i)° 53. (V2 - i)° 54. (1 – V5i)* N-IN
In Problems 43–54, write each expression in the standard form a + bi. 43. [4(cos 40° + i sin 40°) ]³ 44. [3(cos 80° + i sin 80°) ]³ 45. + i sin cos 5m 46. + i sin 47. [V3 (cos 10 + i sin 10°) ]° 48. (cos 72° + i sin 72°) cos 16 16 SECTION 9.3 The Complex Plane; De Moivre's Theorem 595 37 49. V5 + i sin 18 18 51. (1 - i)s cos + i sin 50. cos 16 16 52. (V3 - i)° 53. (V2 - i)° 54. (1 – V5i)* N-IN
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 40E
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In Problems 43–54, write each expression in the standard form a + bi.
![In Problems 43–54, write each expression in the standard form a + bi.
43. [4(cos 40° + i sin 40°) ]³
44. [3(cos 80° + i sin 80°) ]³
45.
+ i sin
cos
5m
46.
+ i sin
47. [V3 (cos 10 + i sin 10°) ]°
48.
(cos 72° + i sin 72°)
cos
16
16
SECTION 9.3 The Complex Plane; De Moivre's Theorem
595
37
49. V5
+ i sin
18
18
51. (1 - i)s
cos
+ i sin
50.
cos
16
16
52. (V3 - i)°
53. (V2 - i)°
54. (1 – V5i)*
N-IN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff77316dd-50a8-49c3-821b-03d24ffd8984%2F57c51175-875d-4079-b4c8-65f4bfbe327a%2Fl60k8hf_processed.png&w=3840&q=75)
Transcribed Image Text:In Problems 43–54, write each expression in the standard form a + bi.
43. [4(cos 40° + i sin 40°) ]³
44. [3(cos 80° + i sin 80°) ]³
45.
+ i sin
cos
5m
46.
+ i sin
47. [V3 (cos 10 + i sin 10°) ]°
48.
(cos 72° + i sin 72°)
cos
16
16
SECTION 9.3 The Complex Plane; De Moivre's Theorem
595
37
49. V5
+ i sin
18
18
51. (1 - i)s
cos
+ i sin
50.
cos
16
16
52. (V3 - i)°
53. (V2 - i)°
54. (1 – V5i)*
N-IN
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