AnswersNC-Math 4 CRMultiply and Divide Complex Numbers

Multiply and Divide Complex Numbers Answers

2 verified answers
1
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What is 56(cos(33°) + i sin(33°)) ÷ 7(cos(11°) + i sin(11°))?

A
8(cos(3°) + i sin(3°))
B
49(cos(3°) + i sin(3°))
C
8(cos(22°) + i sin(22°))
D
49(cos(22°) + i sin(22°))
2
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What is the product of 16(cos(47°) + i sin(47°)) and 4(cos(12°) + i sin(12°))?

A
20(cos(35°) + i sin(35°))
B
20(cos(59°) + i sin(59°))
C
64(cos(35°) + i sin(35°))
D
64(cos(59°) + i sin(59°))
3

For z = –2 + 2i, which graph represents z and –2z?

A
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is (negative 2, 2) and point negative 2 z is (1, negative 1).
Option A
B
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is (negative 2, 2) and point negative 2 z is (4, negative 4).
Option B
C
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is (negative 2, 2) and point negative 2 z is (negative 1, negative 4).
Option C
D
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is (negative 2, 2) and point negative 2 z is (negative 4, negative 4).
Option D

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