Expert answer:Trigonometric Form of complex numbers

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Expert answer:Ten multiple choice questions ranging from: What is the absolute value of: 3 – 8i ; Convert to standard form: z = 20(cos135 + i sin135); Convert to trigonometric form: z = 4sqrt3 + 4i
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What is the absolute value of a complex number: z = a + bi ?
|a|
|b|
The distance from a to b in a complex plane.
The distance from the origin to the point (a,b) in a complex plane.
What is the absolute value of: 3 – 8i ?
A) 9
B) 64
C)
D)
A
B
C
D
Convert to trigonometric form: z =
8(cos60 + i sin60)
8(cos30 + i sin30)
8(sin30 + i cos30)
8(sin60 + i cos60)
9
9√3
4
4
Convert to trigonometric form: z = − +
81/4(sin120 + i cos120)
81/4(cos120 + i sin120)
9/2(cos120 + i sin120)
9/2(cos120 + i sin 90)

Convert to standard form: z = 20(cos135 + i sin135)
A
B
C
D
Convert to standard form: z = 3/5(cos
-3 + 4i
-3 – 4i
4 – 3i
This cannot be converted.
+isin
)
Find z *z
1
2
6(cos210 + i sin210)
4(cos210 – i sin210)
24(cos210 + i sin210)
24(cos210 – i sin210
Find z
2
1
36(cos300 + i sin300)
36(cos150 + i sin150)
36(cos300 – i sin300)
36(cos150 – i sin150)
Find z
4
2
256(cos60 + i sin60)
256(cos120 + i sin120)
256(cos180 + i sin180)
256(cos240 + i sin240)
…
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