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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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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
Transcribed Image Text: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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