Write the complex number in rectangular form: 1. 8(cos / 6 + i * sin / 6) 2. 9(c

ID: 3025742 • Letter: W

Question

Write the complex number in rectangular form:

1. 8(cos / 6 + i * sin / 6)

2. 9(cos / 3 + i * sin / 3)

3. 9(cos 180° + i * sin 180°)

4. 7 cis 240°

Write the complex number in trignometric form r(cos + i * sin ), with in the interval [0°, 360°).

5. 4 - 4sqrt{3} * i

6. 5sqrt{3} + 5i

7. -4i

8. 3

Find the product. Write the product in rectangular form, using the exact values.

9. [7(cos 45° + i * sin 45°)] [2(cos 90° + i * sin 90°)]

10. [8(cos 330° + i * sin 330°)] [6(cos 330° + i * sin 330°)]

11. [4 cis 225°] [6 cis 225°]

Find the quotient and write in rectangular form. First convert the numerator and denominator to trignometric form.

12. 5(cos 200° + i * sin 200°) / 4(cos 50° + i * sin 50°)

13. ( sqrt{3}(cos 315° + i * sin 315°) ) / ( sqrt{6}(cos 45 + i * sin 45) )

14. ( sqrt{3}(cos (7 / 4) + i * sin (7 / 4)) ) / ( sqrt{6}(cos (9 / 4)) + i * sin (9 / 4)))

FInd the given power. Write the answer in rectangular form.

15. ( -i ) ^ (11)

16. (2 - 2i) ^ 5

17. ( - sqrt{3} + i ) ^ 6

1.8(cos pi/6 +isin pi/6)

x=8cos pi/6 = 4sqrt3

y=8sin pi/6 =4

rectangular form is (4sqrt3,4)

2.9(cos pi/3 +i sin pi/3)

x=9cos pi/3 =9/2

y=9sin pi/3=9sqrt3/2

(9/2,9sqrt3/2)

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