Q3/ convert cartesian complex number 3-9i into polar form

Q: Express the complex number in trigonometric form with 0 ≤ θ < 2π.-2 - 7i

A: z=-2-7i Now, r=-22+-72=53 & θ=tan-1yx=tan-1-7-2=π+tan-172      ∵The given complex number lies in…

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

A: Given complex number: z=2-3i3+4i   Write the given complex number into a + bi form to simplify.

Q: Solve the equation x6 +1 = 0 in the complex number system. Express solution in polar and rectangular…

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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: What is the complex number z = -4√3+4i represented in polar form? Enter your answer by filling in…

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Q: Determine the non-zero complex number, z, that satisfies the equation: 37 = z.

A: According to the given information, it is required to find non zero complex number z which satisfy…

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: Cannot solve

A: First we solve the equation for x

Q: Rewrite the complex number 7e“ in a + bi form. Round to two decimal places.

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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.1 - i

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

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

A: For X=3-j2:

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

A: given the complex number -5√3 - 5i. We need to convert the following into trigonometric form.

Q: Change the Complex Number Z = 4|120'in to Rectangular formal. %3D

A: according to our guideline we are supposed to answer only the first question if you want any…

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

A: given  complex number Z=12i

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: Express the complex number z = 10 cis 315° in rectangular form a + bi.

A: Given the complex numberz=10cis315°

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-17

A: Let z=−17⇒z=−17+i0The complex form z=x+iy in trigonometric form is written asz=rcosθ+isinθ,…

Q: Plot the complex number z = 3 + 2i and find its absolute value.

A: Consider the provided complex number, z=3+2i Find its absolute value. The absolute value of a…

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-5

A: Let  z = x + iy  then  z can br written as reiθ where r = x2+y2           θ = tan-1yx

Q: Solve the equation x6 - 1 = 0 in the complex number system. Express solutions in polar and…

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

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Q: Express the complex number z=-4 in polar form r cis8.

A: z= -4 can be written as z= -4 + 0i  -4+0i is on the negative x axis.

Q: Graph the complex number on the complex plane. -2 + 3i 4- 3- 2- -3 -2 -1 -2- -3- 4. 3, 1. 4.

A: Topic = Complex number

Q: Express the complex number in trigonometric form with 0 ≤ θ &lt; 2π.-20i

A: -20i

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

A: Consider the provided information, 2+i  Express the complex number in trigonometric form with 0 ≤ θ…

Q: Use de Moivre's formula to find the Cartesian form of the complex number (-1+iv3) *".

A: The given complex number is                                      -1+i3-7 De Moivre's formula:…

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

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Q: Find the powers of the complex number in polar form. Find z3 when z= 4 cis(65°).

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

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

Q: nestion 14 ( rind all complex numbers 2 such that 2° +2- 2 = 0. press all your answers in polar…

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Q: Write the complex numberz=-4+4i in trigonometric form

A: polar form any complex no is given by as: z =r(cosx+i sinx)

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

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

Q: Plot the complex number and its complex conjugate. 9 - 6i Imaginary axis 10- 8

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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: 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 &lt; 2π.-5 - 5√3i

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

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: Convert the complex number 4(cos(30°) + j sin(30°)) = Z from trigonometric form to rectangular form.…

A: The trigonometric form for a complex number is : z=r(cos θ+ jsin θ) . The rectangular form for a…

Q: Express 2 - 2i in the polar form

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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: Solve the equation x3 - (1 - i√3) = 0 in the complex number system. Express solution in polar and…

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Q: Plot the complex number z = 2 + 3i in the complex plane.

A: Complex Line: z=2+3i2 + 3 i   in the complex plane would be  2  units to the right of the origin and…