Simplify and convert into polar and exponential form of complex number: 2-3i 3+4i

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

A: z=-4+2i Now, r=-42+22=20=25 & θ=tan-1yx=tan-12-4=π-tan-112     ∵Given complex number lies in…

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Q: Write the complex number in trigonometric form. z = -3 - 3i/3

A: In this question we have to change complex number in exponential form.

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: 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 in polar form with argument 0 between 0 and 2x.

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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: To subtract two complex numbers geometrically, first represent them as ________.

A: To subtract two complex numbers geometrically, first represent them as vectors u and v. Consider two…

Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

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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: 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: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-7

A: We know that any given complex numberz=x+iy can be written in polar form as below z=rcosθ+isinθ…

Q: sin(0.346 – 0.548i), |

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Q: Write the complex number in polar form. Express the argument in radians, in terms of pi. z=-1-i

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Q: Write the complex number in polar form with argument 0 between 0 and 2. 8i(1 + i) 4 cos +i sin

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

A: Consider the complex number  −12i

Q: 3+4i 2i Simplify the expression to a single complex number:

A: We can solve the Complex number expression by using the technique of Complex conjugate . In the…

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: 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: Perform the indicated operation and express the result as a simplified complex number. (5 + 7i) (4 –…

A: We have to simplify the following complex number -  (5+7i)(4-i)

Q: Subtract the complex numbers. 5i -(-2i) 5i -(-21) =O

A: imaginary number   An imaginary number is a complex number that can be written as a real…

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: Write the complex number 7[(sqrt)3]−7i in polar form.

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Q: Transform the complex number into its rectangular (1+5i)

A: (1+5i)

Q: Plot each complex number: 1. -3i 3 2. 1. -2 -1 5. -11 -2

A: In complex plane  z = x + iy    = (x,y)

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-4√3 + 4i

A: Given: -4√3 + 4i Here  x=-43, y=4r=x2+y2=-432+42r=163+16=64r=8                        ... taking…

Q: Write the standard form of the complex number. (Round numerical values to four decimal places. 2n +…

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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: ) --1+しa 2 =

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

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

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Q: Write the complex number in rectangular form. 8 cos -+ i sin 2 8 cos ,+ i sin - (Simplify your…

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Q: Simplify the complex power and leave your answer in polar form. 3.

A: Given,-i30i=-0.0333333ii

Q: Write the complex number -7+8i in polar form.

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

A: Given complex number is: z=2-23i Let us consider, r cos θ=2r sin θ=-23 Then we get,…

Q: Change the complex numbers to polar form: -3

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Q: Convert the complex number to polar form in radians -√2/2-√2/2i

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Q: Perform the indicated operation and express the result as a simplified complex number. (3 + 7i) (3 –…

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 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: Plot the complex number on the complex plane and write it in polar form and in exponential form.…

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Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-6i

A: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.z=-6i=0-6i

Q: Plot the complex number on the complex plane and write it in polar form and in exponential - 3+ 10 i

A: we have to find

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

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

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

Q: Write the complex number in polar form 4-4 sq root 3 i =

A: First we will find the magnitude of the complex number and then proceed

Q: If you are given a complex number in polar form, how do you write it in rectangular form?

A: The complex number in the polar form is written as z=rcosθ+isinθ. Solve further as follows:…

Q: Write the complex number in polar form with argument e between 0 and 2n. -8i

A: The polar form is  8(cos(3π/2) + i sin(3π/2))

Q: Transform the complex number into its rectangular and exponential form. (2 +2i)

A: Here, the given complex number is: z=2+2i which is of the form x+iy. So, the given complex number is…