The argument in converting complex numbers in polar form is computed as __. a. Cosine of the ratio of real to imaginary numbers. b. Tangent of the ratio of imaginary to real numbers. c. Tangent of the ratio of real to imaginary numbers. d. Sine of the ratio of real to imaginary numbers. e. None of the above

Q: To convert a complex number from rectangular form, z = a + bi, to polar form, z = r(cos e + i sin…

A: We fill the blank spaces as,

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A: 1(a). The given complex number is: z1=12-12i

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A: Put x=r cosθ   and   y= r sinθ

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Q: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. а. 2 b.…

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Q: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. а. 2 b.…

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Q: determine the indicated roots of the given complex number.   (2(cos π/3 + i sin π/3))1/2

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Q: Obtain the complex number cos (1 + i).

A: See the detailed solution below.

Q: When a complex number z is written in the polar formz = r(cos θ + i sin θ), the nonnegative number r…

A: Given- When a complex number z is written in the polar form z=rcosθ+isinθ, the nonnegative number r…

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A: A complex number is of the form a+ib  where,   real part is a and,  b is imaginary part of the…

Q: To convert a complex number from rectangular form,z = a + bi, to polar form, z = r(cos θ + i sin…

A: The rectangular form of a complex number is z=a+ib the polar form is z=rcosθ+isinθ

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Q: 12. Write the complex number -4 + 4i in polar and exponer

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A: The given complex number is, 1+i12. The objective is to change the given complex number to the form…

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given: Let z=1-3i3 To Find: To change the given complex number into a+ib form using De Moivre’s…

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Q: zk =nsquare route r (cos theta +360 degreesk/n +i sin theta +360 degreesk/n)

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Q: Let z be a complex number. Then cot(5z – n) is equal to

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Q: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. b. (-z)…

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Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

A: By Euler's formula we have eix=cos x+i sin x. Using eixn=einx we get the De Moivre's formula cos x+i…

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Q: Write the given complex number in polar form and in then in the form a + ib. You may use the De…

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Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given complex number is: Let us consider, r cos θ=22r sin θ=-22 Then we get,…

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Q: tanhz = tanh ? %3D

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Q: Which of the following provides the rectangular form of a complex number? A z=a+ bi B z=r (cos theta…

A:

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

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A: We have to find