Trigonometry quiz 6
Dr Richards
week_6__math_quizz_question.docxQUESTION 1
Write the complex number in standard form 3(cos 225° + i sin 225°).
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A. |
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B. |
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C. |
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D. |
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E. |
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QUESTION 2
Find the product and write the result in standard form.
(2 - 6i)2
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A. |
-32 |
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B. |
4 - 24i + 36i2 |
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C. |
40 - 24i |
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D. |
-32 - 24i |
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QUESTION 3
Perform the indicated operation.(2 - 5i) + (8 + 7i)
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A. |
10 - 2i |
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B. |
10 + 2i |
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C. |
-10 - 2i |
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D. |
-6 + 12i |
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QUESTION 4
Use DeMoivre's Theorem to find the indicated power of the complex number. [2(cos 15° + i sin 15°)]4
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A. |
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B. |
8 + 8i |
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C. |
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D. |
16i
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QUESTION 5
Find the quotient (z1/z2) of the complex numbers.
z1 = 5(cos 200° + i sin 200°)
z2 = 4(cos 50° + i sin 50°)
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A. |
(5/4)(cos 150° - i sin 150°) |
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B. |
(5/4)(cos 150° + i sin 150°) |
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C. |
(5/4)(sin 150° + i cos 150°) |
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D. |
(5/4)(cos 250° + i sin 250°) |
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QUESTION 6
Find the product and write the result in standard form. -2i(7i - 4)
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A. |
-14 + 8i |
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B. |
8i - 14i2 |
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C. |
14 + 8i |
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D. |
8i + 14i2 |
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QUESTION 7
Perform the indicated operation.(4 + 5i) - (-7 + i)
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A. |
-3 + 6i |
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B. |
11 + 4i |
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C. |
-11 - 4i |
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D. |
11 - 4i |
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QUESTION 8
Write the complex number 6i in trigonometric form.
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A. |
6(cos 180° + i sin 180°) |
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B. |
6(cos 270° + i sin 270°) |
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C. |
6(cos 0° + i sin 0°) |
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D. |
6(cos 90° + i sin 90°)
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QUESTION 9
Find the absolute value of the complex number. z = -7
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A. |
0 |
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B. |
-7 |
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C. |
7 |
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D. |
14 |
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QUESTION 10
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A. |
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B. |
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C. |
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D. |
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QUESTION 11
Find the complex square roots of 49(cos 30° + i sin 30°)
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A. |
7(cos 30° + i sin 30°), -7(cos 105° + i sin 105°) |
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B. |
7(cos 15° + i sin 15°), 105(cos 195° + i sin 195°) |
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C. |
7(cos 15° + i sin 15°), 7(cos 195° + i sin 195°) |
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D. |
7(cos 30° + i sin 30°), 7(cos 105° + i sin 105°) |
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QUESTION 12
Write the complex number 6 + 8i in trigonometric form.
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A. |
10(cos 53.1° + i sin 53.1°) |
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B. |
10(cos 306.9° + i sin 306.9°) |
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C. |
10(cos 233.1° + i sin 233.1°) |
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D. |
10(cos 126.9° + i sin 126.9°) |
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QUESTION 13
Find the absolute value of the complex number z = -11 - 6i
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B. |
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QUESTION 14
1. Find the product of the complex numbers.z1 = 5(cos 20° + i sin 20°)z2 = 4(cos 10° + i sin 10°)
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A. |
9(cos 30° + i sin 30°) |
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B. |
20(cos 10° + i sin 10°) |
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C. |
20(cos 30° + i sin 30°) |
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D. |
9(-cos 200° - i sin 200°) |
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QUESTION 15
Find the complex cube roots of 343(cos 291° + i sin 291°)
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A. |
-7(cos 97° + i sin 97°), 7(cos 217° + i sin 217°), -7(cos 337° + i sin 337°) |
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B. |
7(cos 97° - i sin 97°), 7(cos217° - i sin 217°), 7(cos 337° - i sin 337°) |
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C. |
7(cos 97° + i sin 97°), 7(cos217° + i sin 217°), 7(cos 337° + i sin 337°) |
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D. |
-7(cos 97° + i sin 97°), 7(cos 137° + i sin 137°), -7(cos 177° + i sin 177°) |
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E. |
7(cos 97° + i sin 97°), 7(cos 137° + i sin 137°), 7(cos 177° + i sin 177°)
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QUESTION 16
Find the product and write the result in standard form (4 + 5i)(2 - 8i)
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A. |
48 + 22i |
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B. |
40i2 - 22i + 8 |
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C. |
48 - 22i |
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D. |
-32 + 42i
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QUESTION 17
Find the product of the complex numbers.z1 = 7(cos (π/4) + i sin (π /4))z2 = 3(cos (π /6) + i sin (π /6))
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A. |
10(cos (π/12) + i sin (π/12)) |
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B. |
21(cos (π/12) + i sin (π/12)) |
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C. |
10(cos (5π /12) + i sin (5π /12)) |
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D. |
21(cos (5 π/12) + i sin (5 π/12)) |
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QUESTION 18
Perform the indicated operation.5i - (-5 - i)
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A. |
-5 + 4i |
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B. |
5 + 6i |
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C. |
5 - 4i |
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D. |
-5 - 6i |
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QUESTION 19
Find the absolute value of the complex number z = -8 - 12i
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A. |
2 |
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B. |
2i√13 |
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C. |
4√13 |
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D. |
4i√13 |
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QUESTION 20
Use DeMoivre's Theorem to find the indicated power of the complex number. (1 - i)10
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A. |
32 - 32i |
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B. |
32 |
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C. |
-32i |
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D. |
-32 + 32i |
