The complex numbers Z₁ and Z₂ are defined as follows:4₁ = 6 (cos(4) + i sin(²sin(4))Z₂ = 12 (cos(T) + i sin())Calculate|Z| =0 =O-3TT/5a =in polar form, where Z = |Z| (cos(0) + i sin(0))Z₂b=03π/3O-π/504TT/5ОпCalculate Z in rectangular form, where Z = a + b i: Write your answers to 2 deciplacesОπ/2

The given complex numbers are…

The complex numbers Z₁ and Z₂ are defined as follows: ²1 6 (cos(4) + i sin(4T)) = Z₂ Calculate = 12 (cos(T) + i sin()) |Z| = 8 = O-3π/5 a = b= ²₁ in polar form, where Z= |Z| (cos(0) + i sin(0)) ²₂ 03π/3 O-TT/5 04T/5 Calculate Z in rectangular form, where Z = a + b i: Write your answers to 2 de places OTT Оπ/2

The complex numbers Z₁ and Z₂ are defined as follows: ²1 6 (cos(4) + i sin(4T)) = Z₂ Calculate = 12 (cos(T) + i sin()) |Z| = 8 = O-3π/5 a = b= ²₁ in polar form, where Z= |Z| (cos(0) + i sin(0)) ²₂ 03π/3 O-TT/5 04T/5 Calculate Z in rectangular form, where Z = a + b i: Write your answers to 2 de places OTT Оπ/2

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.4: Trigonometric Form Of A Complex Number

Problem 7ECP

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Question

The complex numbers Z₁ and Z₂ are defined as follows:
4₁ = 6 (cos(4) + i sin(²
sin(4))
Z₂ = 12 (cos(T) + i sin())
Calculate
|Z| =
0 =
O-3TT/5
a =
in polar form, where Z = |Z| (cos(0) + i sin(0))
Z₂
b=
03π/3
O-π/5
04TT/5
Оп
Calculate Z in rectangular form, where Z = a + b i: Write your answers to 2 deci
places
Оπ/2

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