Use the help of the polar representations of complex numbers to express (V2 + i)? in the form of a + bi.

Q: 0, : Describe the set of points in the complex plane that satisfy |!- |=|| (1) (2) Q. : Write the…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

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

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

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.√3 + i

A: 3+i

Q: The notation a + bi is called ________ form for a complex number, and the notationr(cos u + i sin u)…

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-4 - 4i

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-4 - 4i

Q: Write the complex number in polar form with argument 0 between 0 and 2x.

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Q: Write the complex number in polar form such that 0 less than or equal to deta less than 360 degrees

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-10 + 10i

A: We have given  z = -10 + 10i    Now, z can written as reiθ    r =  (-10)2+ 102              [ As if…

Q: Find the product of the complex numbers: z, = -V3+3i and z2 =1+ 2i in polar form.

A: Given:          z1=-3+3i          z2=1+2i         product of complex number =z1×z2…

Q: Plot the number 1 + 2i on the complex plane.

A: 1+2i has the real part 1 and imaginary part 2. As the x-axis represents the real part and the y-axis…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.15

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.1 - i

A: Given, To Evaluate, the complex number in trigonometric form with 0 ≤ θ < 2π.1 - i Here  a=1 and…

Q: Write the complex number in polar form with argument between 0 and 2. -1-√√3i

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Q: write the complex number in polar form with argument 0 between 0 and 2t 23 -2i

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-12i

A: Consider the complex number  −12i

Q: Express the complex number z = 7 – 3i in polar form

A: Given z=7-3i

Q: Write the complex number z = 1 + I square root of 3 in polar form with the angle in degrees.

A: given,         z=1+3i

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

A: z1=1+i  &  z2=-1+i

Q: Convert the complex number, z = 7cis(240°), from polar to rectangular form. Enter your answer as a +…

A: We have to find the value as  a+bi

Q: Convert the polar form of the complex number to rectangular form . -2(cos(플) + isin(쫄))

A: Rectangular form x+jy Polar form r∠Θ r= √(x2 +y2 )  Θ= tan-1 (y/x)

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

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

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Q: Find all the complex roots. Leave your answer in polar form with the argument in degrees.

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Q: Find the distance between the complex numbers in the complex plane. -з - 6і, 6 + 2i

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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 & the amplitude or argument is,…

Q: Write the complex number in polar form with argument 6 between 0 and 2n. 9 + 9/3i

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Q: Plot the complexnumber then write the complex number in polar form express in degree 13-13i

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Q: Write the complex number in polar form with argument e between 0 and 2n.

A: Given: z=2z=2+0i

Q: Write the complex number –2 in polar form with argument 0 between 0 and 27.

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Q: (3+ /3i) (-1-i)?

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Q: The polar form of a Complex Number is. .

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.1 - 3i

A: Consider the complex number: 1-3i. Write in the trigonometric form   A complex number a+ib in the…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.4 + 5i

A: Given that, the complex number 4+i 5 Express the complex number in trigonometric form with 0 ≤ θ…

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

A: First multiply the given complex numbers. z1·z2=1+i2+2i=2+2i+2i-2=4i Obtain r. r=42r=4

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.12

A: 12+0i

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.4 - 3i

A: Given: z=4-3i We know that any given complex numberz=a+ib can be written in polar form as below…

Q: Express the given Cartesian complex numbers in polar form. A. 2+J3 b. -4 c. -6+J

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Q: Put the following complex number V3 + 4 1 -- 4 into polar form.

A: We have to find the polar form

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-5 - 5√3i

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-5 - 5√3i

Q: What is the polar form of the complex number z = 3i? Z.

A: Given that z = 3i and find that what is the polar form of this . Here i attached solution of this…

Q: Express the following complex number in polar form. i. -3 - j4

A: Given that z= -3-4j , z=x+iy is cartesian form  then polar form is z=r(cosθ+isinθ) , where  z=x2+y2…

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.3 - 3√3i

A: Express the complex number in trigonometric form with 0 ≤ θ < 2π.3 - 3√3i = 3 (1 - √3i) Multiply…

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

A: Solution: Consider the given complex number is: z = 3 + i7 We have  z = a + ib⇒z = rcos θ + i sin θ…

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

A: Complex number in polar form.

Q: Express the given complex number in rectangular form into polar form. -5 – 5i3 ○ 5/2 [cos(플) +…

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Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-2 - 2i

A: Solution: Consider the given complex number is: z = -2 - 2i The trigonometric form of a complex…