The complex numbers Z₁ and Z₂ are defined as follows: (cos(²T) + i sin(2)) Z₁ = ²₂ = 9 0 = 0-2π/3 a- = 3 (co (cos(T) + i sin(8) Calculate in polar form, where Z= |Z| (cos(0) + i sin(0)) |Z| = b= 02π/3 Оп/3 08 0-1/3 O-TT Calculate Z in rectangular form, where Z = a + b i: Write your answers to 2 dec places 00

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The complex numbers Z₁ and Z₂ are defined as follows:
²1
i sin (2T))
²₂ = 3 (cos(8) + i sin(8))
²1
in polar form, where Z = IZ] (cos(0) + i sin(0))
2₂
=
Calculate
|Z| =
0 =
O-2π/3
a =
+
9 (cos(2)
b=
02π/3
OTT/3
O-π/3
08
Calculate Z in rectangular form, where Z= a + b i: Write your answers to 2 decin
places
O-TI
Transcribed Image Text:The complex numbers Z₁ and Z₂ are defined as follows: ²1 i sin (2T)) ²₂ = 3 (cos(8) + i sin(8)) ²1 in polar form, where Z = IZ] (cos(0) + i sin(0)) 2₂ = Calculate |Z| = 0 = O-2π/3 a = + 9 (cos(2) b= 02π/3 OTT/3 O-π/3 08 Calculate Z in rectangular form, where Z= a + b i: Write your answers to 2 decin places O-TI
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