7) Convert the complex number, 3-5i, nto polar form, Show your work.

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: Find the product of the complex numbers z1 = 4(cos 15° + i sin 15°) and z2 = 7(cos 25° + i sin 25°).…

A:

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

A: The given complex number is:3-9i To convert into the polar form.

Q: Define the Complex Number by using example inside this arc: (7- 3i )

A: Consider the given example of the complex number. C=7-3i The general form of the complex number is…

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: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: Express the complex number z = 6 cis 180° in rectangular form a + bi. Select the correct answer…

A:

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…

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

A: 3+i

Q: Need help

A:

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

A:

Q: find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

A: The complex number: z=x+iy can be represented in its polar form as z=rcosθ+isinθ. Here, r=x2+y2,…

Q: 11.Write the complex number 3e in polar and rectangular form

A: Given:     Z = 3ei(4π/3)

Q: Convert the complex number, z=3cis(1/2 ⋅π) from polar to rectangular form. Enter your answer as a+bi

A: givenz=3cis(π2)orz=3(cosπ2+isinπ2)

Q: Find the product of the complex numbers z1 = 6(cos 20° + i sin 20°) and z2 = 5(cos 50° + i sin 50°).…

A: the givn complex numbers are: z1=6(cos20°+isin20°)z2=5(cos50°+isin50°)

Q: Express the complex number 2 + 2√3 i in polar (trigonometric) form.

A:

Q: Convert the rectangular form of the complex number 2 – 2i into polar form. Show all work and label…

A:

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

A: Given z=7-3i

Q: Write down the complex number 1 + V3i in polar form. (Hint: notice that cos (중) -글)

A: The polar form of a complex number a+bi is r(cosθ+isinθ) where r is the absolute length of 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: 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: 12. Write the complex number -4 + 4i in polar and exponer

A:

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

A:

Q: Find the product of the complex numbers z1 = cos 210° + i sin 210° and z2 = cos 55° + i sin 55°.…

A: cosθ+i sin θ=ejθ

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

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

A:

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: Find the product of the complex numbers z1 = cos π/6 + i sin π/6 and z2 = cos π/4 + i sin π/4. Leave…

A: the given two complex numbers are: z1=cosπ6+isinπ6z2=cosπ4+isinπ4 we have to find the product of the…

Q: Write the complex number in polar form with argument 0 between 0 and 27. -V6 + vzi

A:

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

A:

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

A:

Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

A: We can solve as follows

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

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

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

A:

Q: Express the complex no v3 + i in polar form. Also show it by Argand diagram

A: Given that z=3+i convert the given complex number into polar form  also draw the Armand diagram

Q: Find the product of the complex number z = 3 + 4i and its conjugate z*.

A: The complex number is given as z=3+4i

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: Find the product of the complex numbers z1 = 3(cos 40° + i sin 40°) and z2 = 5(cos 70° + i sin 70°).…

A: Given complex numbers - z1 = 3cos40+isin40           ................(1)z2 = 5cos70+isin70…

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: Convert the complex number, z = 5(cos(π3)+isin(π3))5(cos(π3)+isin(π3)) , from polar to rectangular…

A:

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

A:

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

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

Q: Convert the complex number, 6las aism Cos पु. + tSh i sin II into atbi form, Show Work, your

A: Given Complex number:

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

A:

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

A: We have to find the polar form

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

A: Complex number in polar form.

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: 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…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.