For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly find æ, Y, r, 0 in your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number. 1. 1+i 2. i - 1 3. 1- iv3 4. -v3+i 5. 2i 6. -4i 7. -1 8. 3 9. 2i – 2 10. 2 – 2i 11. 2 ( cos +i sin 2т 37 12. 4 i sin 13. + i sin COS Cos 2 2 14. 2 (cos + 2 ( cos 15. COS IT i sin 7 16. 5(cos 0 + i sin 0) Vze-iz/4 17. 18. 3e/2 19. 5(cos 20° + i sin 20°) 20. 7(cos 110° – i sin 110°)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
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Question
For each of the following numbers, first visualize where it is in the complex plane. With a
little practice you can quickly find æ, Y, r, 0 in your head for these simple problems. Then
plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate
of the number.
1.
1+i
2. i - 1
3.
1- iv3
4. -v3+i
5.
2i
6.
-4i
7.
-1
8.
3
9.
2i – 2
10.
2 – 2i
11.
2 ( cos
+i sin
2т
37
12.
4
i sin
13.
+ i sin
COS
Cos
2
2
14. 2 (cos +
2 ( cos
15.
COS IT
i sin 7
16. 5(cos 0 + i sin 0)
Vze-iz/4
17.
18. 3e/2
19.
5(cos 20° + i sin 20°)
20.
7(cos 110° – i sin 110°)
Transcribed Image Text:For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly find æ, Y, r, 0 in your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number. 1. 1+i 2. i - 1 3. 1- iv3 4. -v3+i 5. 2i 6. -4i 7. -1 8. 3 9. 2i – 2 10. 2 – 2i 11. 2 ( cos +i sin 2т 37 12. 4 i sin 13. + i sin COS Cos 2 2 14. 2 (cos + 2 ( cos 15. COS IT i sin 7 16. 5(cos 0 + i sin 0) Vze-iz/4 17. 18. 3e/2 19. 5(cos 20° + i sin 20°) 20. 7(cos 110° – i sin 110°)
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