A. Change the complex numbers to polar form: 1. ( - 3) 4. -- V15 +i5 2. (- 8i) 5. J7-iv21 3. -- 4 – 4i

Q: Convert the complex number 2+i3 to polar form.

A: Given complex number: 2+i3   Since it is the form a + ib and the polar form of a + ib is r (cos θ +…

Q: Q2/ Write the complex number 5(cos+i sin) in its rectangular form and then plot it in the complex…

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Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 - 3j

A: Z=2+5j compare the complex number with z=a+bj a=2b=5 find the modulus r  r=a2+b2=22+52=4+25=29…

Q: Convert the complex number, z = 5cis(330°), from polar to rectangular form. %3D Enter your answer as…

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Q: Find the polar form of the following complex numbers: (a.) z1 = 1+iv3, (b.) 22 = -2 + 2i, (с.) 23 —…

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Q: Convert the complex number from polar to rectangular form. z = 8 (cos(pi/3)+i sin(pi/3))

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Q: Consider the complex numbers: z = 2 – i and w = 1+3i . Sketch (in the same diagram) 2, w, zw and z:

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Q: Express the following complex number in its polar form. i"(V3 - i10)(2 – 15)

A: The given problem is to evaluate and simplify the given complex expression and express in the form…

Q: Plot the following complex numbers z = 6 – 3i and w = 2 + 5i and find the midpoint of the line…

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Q: Given the following three complex number: Z1=2+ j6, Z2 = 6– j3, and V = 30+ j40 V If I =V (Zl+Z2)…

A: When two complex numbers are added, then the real parts are added together and the complex parts are…

Q: Write the complex number -V3 + i in trigonometric (or polar form) with 0 < 0 < 2n.

A: Using z= r(cos theta +i sin theta)

Q: Q? find the value of the complex number and write it in the polar form. V32(i – 1)

A: Given complex number is                                                                     32(i-1)5…

Q: Simplify and represent the following complex number in the polar coordinates. Z= 1+j 2-j

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Q: If X = 3 - j2     and    Y = 3 + j2   convert your pair of complex numbers to polar form

A: For X=3-j2:

Q: Find the quotient z1/z2 of the complex numbers z1 = 2 + 2i and z2 = 1 + i. Leave answers in polar…

A: Given: z1=2+2i , z2=1+i To determine: z1z2. Also, to write answer in polar form.

Q: First simplify each of the following numbers to the r + iy form or to the re“ form. Then plot the…

A: Given, 11+i Divide and multiply 1-i  ⇒11-i1+i1-ia-ba+b=a2-b2⇒1-i12-i2

Q: express the given complex number in polar form R(cos θ + i sin θ) = Reiθ. 1 + i

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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

Q: (as + isin I) 1.) Z = 12 %3D

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Q: i7(√3-i10) (2 - i5)

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Q: Convert the complex number, z = 9cis(210∘)9cis(210∘) , from polar to rectangular form.

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Q: What is (-2/3 – 2i)* equivalent to? Drag a value to each box to correctly express the answer in…

A: Given :               (-2.sqrt(3) - 2i)4                into r . cis theta form.

Q: Write the complex number in rectangular form. z = 8 cos +i sin 6 V3 1 OA. i + 4 4 B. 4/3 +4 i O C.…

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Q: Use the help of the polar representations of complex numbers to express (V2 + i)? in the form of a +…

A: Given, i=-1 2+i2

Q: Write the complex number z = (1+ v3 i)" in polar form: z = r(cos 0+ i sin 0) where

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Q: (15) For the complex number z = ti find z2 by a) directly multiplying in the rectangular form given,…

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Q: If z and z are conjugate complex numbers, find two complex numbers, z = : = z; and z = z,, that…

A: Note some result about complex number : Suppose z is a complex number then there exist a,b∈ℝ such…

Q: To convert a complex number z = x + yi from standard form into trigono metricform, use the…

A: The modulus of a complex number z=x+yi is r=x2+y2 &amp; the amplitude or argument is,…

Q: Give the solutions of the complex equation –3z°(1 + i) = z(1 – i) in trigonometric for

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Q: Convert the complex number from polar to rectangular form. z = 9 (cos(7pi/6)+i sin(7pi/6))

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Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: express the given complex number in polar form R(cos θ + i sin θ) = Reiθ.  √3−i

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Q: b) Convert the following complex numbers (rectangular form) to polar form i) z=5+ jl0 ii) z= 10- j21…

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Q: a. Convert complex number (−2 − 6 i) to the polar form and represent it graphically

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Q: Given the polar coordinates of a complex number as (5,(−3/4)π), the corresponding Cartesian form is?

A: See the attachment

Q: Use a scientific calculator or unit circle to convert the polar form of the complex number to its…

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Q: Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 - 3j D= -2 + 6j

A: Given: The complex numbers, Z=2+5j Y=-3-3j D=-2+6j To do: Represent the given complex numbers in…

Q: The reciprocal of a complex number x+jy is

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Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2 A = 2+ j3

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Q: Find three additional polar representations of the point, using -2pi<Ø<2pi (3, 3pi/4)

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Q: For items 6 & 7, express the complex number in polarform. 6. -V6- ivz A. 2/2 cis 210° B. 3/2 cis…

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Q: 1. Express the following numbers in polar form and plot it in a complex form а. 3+4i b. -3+4i C.…

A: x=rcosθ, y=rsinθ, and r=√x2+y2. Then, z=r(cosθ+isinθ).

Q: T Convert the complex number, z = 4( cos| + i sin from polar to rectangular form. Enter your answer…

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Q: Express the complex number -3+/4 in the polar form.

A: Complex number in polar form.

Q: Express the following complex numbers in polar form: (3+ /3i) (-1-i)² 2 i) z=(3 -i) ii) iii) 1-iV3

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Q: 1- V3 i 1+v-3

A: Given : Z = ( 1 - √3 i )/(1+√-3)

Q: Convert the complex number 9/3 9 i to polar form. Give exact 2 2 answers for r and 0 (no decimals).

A: The polar form of the complex number is rcosθ + isinθ. The formula for finding r is a2+b2 and the…

Q: express the given complex number in polar form R(cos θ + i sin θ) = Reiθ.  −1+√3i

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Q: Given the complex numbers z = V2 + v2i, find the polar form.

A: We have to write the polar form.