Trigonometric Form of complex numbers

Anonymous
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Question description

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


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) 𝑖 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)

Tutor Answer

vmohanakumar
School: UCLA

Attached. Let me know if you have any questions or concerns.

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...

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Anonymous
Outstanding Job!!!!

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