The complex numbers Z₁ and Z₂ are defined as follows: = 4 (cos(²T) + i sin(²) ²₁ Z₂ Calculate = 8 (cos() |ZI = 0 = O-2π/3 a = b= + i sin()) ²1 in polar form, where Z = |Z] (cos(0) + i sin (0)) ²₂ 02π/3 OTT/3 O-TT/3 Calculate Z in rectangular form, where Z = a + b i: Write your answers to 2 decimal places O-TT

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A: According to Euler's identity, r ( cos x + i sin x) = r eix

Q: The complex numbers Z₁ and Z₂ are defined as follows: ²₁ = 5 (cos(²) + i sin(2)) ²₂ = = 2 (cos() + i…

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Q: a. Z1 Z2 = r1 r2 [cos(0, + 02) + j sin(0, + 02)] %3D Z1 =" [cos(0, - 02) +j sin(01 – 02)] b. | | Z2…

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Q: (-1+√3i)* late Z in polar form, where Z = |Z| (cos(8) + i sin (0) ) solution including 2 decimal…

A: For a complex number  argument  and modulus Also note the following peroperty of complex number  for…

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Q: The complex numbers ₁ and ₂ are defined as follows: 21 = 3(cos()+isin()) 22 = 5(cos()+isin()…

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Q: Find the product z₁z2 and the quotient Express your answers in polar form. 2₁ = 2(cos() + / sin()),…

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Q: The complex numbers Z₁ and Z₂ are defined as follows: Z₁ = 3 (cos(−2¹) + i sin(−2π)) 4 4 ²2 = 2…

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Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: 3. Express the following complex numbers in polar form( r< θ), find the modulus ‘r’ and argument θ”…

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Q: Graph the sinusoidal function using key points. 41) y = 1 + cos x 2- 1 -2n TC -1- -27 42) y = 4 sin…

A: Let's find.

Q: The complex numbers Z₁ and Z₂ are defined as follows: ²1 6 (cos(4) + i sin(4T)) = Z₂ Calculate = 12…

A: The given complex numbers are…

Q: 13. r²=a² sin 20 r = a(l+cos 8) rsin 0=3 r=4 cos 30 P= How many of these 5 equations in polar form…

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Q: The complex numbers Z₁ and Z₂ are defined as follows: (cos(²T) + i sin(2)) Z₁ = ²₂ = 9 0 = 0-2π/3 a-…

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Q: . (a) Write cos 3x + i sin 3x = e3ix = (cos x + i sin x)³ by Euler's formula, expand, and equate…

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Q: Use DeMoivre’s Theorem to find z4 if z = 2 (cos 3π/4 + i sin 3π/4). Write your answer in standard…

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Q: The complex numbers Z₁ and Z₂ are defined as follows: = 0.5 (cos(-2) + i sin(-2)) 6 6 ²1 ²₂…

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Q: The complex number Z is defined as follows: Z = (1+√3i)5 Calculate z in polar form, where Z = |Z|…

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Q: find wz and z/w anwer in polar form z=3(cos130 degrees+i sin 130 degrees) w=4(cos270 degrees+i…

A: We have given z = 3(cos130° + i sin 130°) w = 4(cos270° +i sin270°)