Use a scientific calculator or unit circle to convert the polar form of the complex number to its equivalent rectangular form. z = 5(cos90° + isin90°) z = 5 z = -5 z = - 5i z = 5i

Q: Find the polar form for the complex number -2-3i.

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Q: Find all the complex numbers x that satisfy the equation x5 - ix4 + 5x3-5ix2 + 6x - 6i = 0. Then…

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Q: Write the complex number in polar form 6 + 6V3i

A: General form of a complex number is,                 x + iy  Polar form of complex…

Q: Plot the complex number in the complex plane and write it in polar form. 3/3-3i

A: The polar form of complex number z = a + bi is  z = r.cosθ + isinθ Where , r is the module of z and…

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: Given the complex number   z=x+yj. Determine z .   Express your final answer in rectangular form

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Q: Find the distance between the complex numbers in the complex plane. 1 + 4i, -1 + 7i

A: The distance between the two complex numbers, z1=a+bi and z2=c+di in the complex plane is  In the…

Q: The polar form complex number (Z=12i )is

A: given  complex number Z=12i

Q: Find the quotient z1/z2 of the complex numbers Leave answers in polar form." z1=2(cos5pi/3+isin…

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Q: Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to…

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Q: Find the real and imaginary parts of the complex number.

A: Given: The expression 3+-4 . The given expression can be converted into the form a+ib as,…

Q: Plot the complex number on the complex plane and write it in polar form and in exponential form.…

A: First we have to calculate r and theta to convert the complex no in polar and exponential form

Q: Graph the complex number, find its modulus and put the complex number in polar form with arguement Θ…

A: -1 - sqrt(3)/3 i = -1 - 0.577i (approx) This is similar as (-1,-0.577). Plotted it on graph.

Q: Plot the complex number on the complex plane and write it in polar form and in exponential form. 8 -…

A: The solution are next step

Q: b) Express the complex number in polar form -4 + 4i

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Q: The complex number graphed below can be expressed in rectangular form as. -or in polar form as. Im…

A: Consider the given graph.

Q: Rewrite the complex number 4e2.5i in a + bi form

A: Given complex number is, z=4e2.5i comparing with reiθ r=4θ=2.5 We also know that, z=r cos(θ) + i r…

Q: Write the complex number in polar form. a. z = -2 + 2i b. z = 8 - 15i

A: z=-2+2i z=8-15i

Q: the complex number 5 Cis 210 in standard form

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Q: Plot the complex number z = 3 and find its absolute value.

A: Consider the given: z=3It can be written as:z=3+0iComparing z=x+iy,here,x=3,y=0

Q: Write the standard form of the complex number. (Round numerical values to four decimal places.)…

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Q: Write the complex number in polar form with 0<0<2n. Write your answer in exact fraction form if…

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Q: A complex number z has |z| =5 and arg z = 132⁰. i) Plot z on an argand diagram. ii) Write z in…

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Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Consider the given: z1=cos80°+isin80°z2=cos200°+isin200°

Q: The ________ ________ of the complex number a + bi is the distance between the origin and (a, b)

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Q: 1. Plot the complex number on the complex plane and write it in polar form and in exponential form.…

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Q: Find the principal root of the complex number: (1– (2+ 4i)²

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Q: Plot the complex number. −9 + 3i Write the trigonometric form of the complex number. (Round your…

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Q: (1) |z + 3 + 4i| = |z − 5| (2) |z| = 4   Find all complex numbers z that satisfy both (1) and (2)…

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Q: Plot the complex number on the complex plane and write it in polar form and in exponential form.…

A: Find the polar form and exponential form of a complex number

Q: An engineer wants to determine the distance d of the two complex number in the complex coordinate…

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

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Given, z1=2+2iz2=1+i

Q: Plot the complex number in the complex plane, then write the number in polar form: Z=-1+iv3

A: The general form of a complex number is given by z=a+ib, where a,bare two real numbers and i=-1.…

Q: 1. the complex numbers given in polar form (re®) explain a) 2+2v3i b) -5 + V3i c) -V6 – VZi d) -3i

A: See the attachment

Q: Find the product of the complex numbers.Leave answers in polar form. z1 = 1 + i z2 = 2 + 2i

A: Solution:  z1=1+iz2=2+2i

Q: Plot the complex number z = 4 - i and find its absolute value.

A: In the Argand plane, the real axis is the x-axis and the imaginary axis is the y-axis. The absolute…

Q: Express the complex number z = - 1 - (square root 3)i in polar form: Z = r ( cos ( θ ) + i sin ( θ )…

A: Explained below

Q: Write the complex number in polar form with argument 0 between 0 and 2m. -VZ+ V6i

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Q: Use de Moivre’s formula to find the Cartesian form of the complex number  (-2 + 2√3i)7

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Q: Find three cube roots for the complex number. Leave your answers in trigonometric form. - 323 - 32i…

A: We know that a complex number x+iy can be expressed in polar form as reiθ, where r=x2+y2 and…

Q: Plot the complex number on the complex plane and write it in polar form and in exponential form.…

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Q: Convert the complex number from rectangular form to polar form. -10i

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Q: Find the product of the complex numbers. Leave answer in polar form. z 1 = 4i z 2 = -6 + 6i

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Q: Plot the complex number. Then write it in polar form. 3/3 +3i2 Plot the complex number 33 +3i2.…

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Q: "The complex conjugate, or simply conjugate of a complex number is found by reversing the algebraic…

A: From given statement -1

Q: 1- V3 i 1+v-3

A: Given : Z = ( 1 - √3 i )/(1+√-3)

Q: Express the given complex number in polar form z=-5*square root of 3 - 5i)

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Q: e answer in polar form

A: The given question belonging to the complex number in which we have to find the product of the…