Answered: A complex number z has |z| =5 and arg z…

A complex number z has |z| =5 and arg z = 132⁰. i) Plot z on an argand diagram. ii) Write z in polar form iii) Write z in Cartesian form correct to two decimal place

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 68E

See similar textbooks

Related questions

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

A: Given complex number z = -5 + 5√3i.Graph the complex number.

Q: Suppose Zi and Z, are two given complex numbers. Construct graphically a. 3Z1 – 2Z2 b. (1/2)Z, +…

Q: In an Argand diagram a set of points representing complex numbers z is defined by the equation |z-…

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

Q: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: To find the fourth roots of -1 the De Moivre's formula convert the rectangular co-ordinate to polar…

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

Q: In an Argand diagram, O is the origin and the points P and Q represent the complex numbers z1 and z2…

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

A: The point corresponding to -1 - (1/4)i is= (-1, -1/4) The point corresponding to 3/2 + (3/4)i is=…

Q: The distance between two points in the complex plane is the ________ of the difference of the…

A: Let (a,b) and (m,n) are two points in the complex plane. Then the difference of the complex numbers…

Q: Find two complex numbers a + bi in which a 0 V17 and b 0 with a modulus of

A: topic - complex numbers

Q: Let z be a complex number. Then cot(5z-pi) = cot(5z)?

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

Q: If the complex number z = x + iy satisfies the condition |3z – 6i| = 3 , then z lies on Oa. a.…

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 midpoint of the line segment joining the points corresponding to the complex numbers in the…

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: If the complex number z = x + iy satisfies the condition |3z - 6i| = 3, then z lies on a. Circle…

A: We know that z=x+iy and z = x2+y2 Then 3z-6i = 33(x+iy)-6i = 33x+3iy-6i = 33x+(3y-6)i =…

Q: To convert a complex number from rectangular form,z = a + bi, to polar form, z = r(cos θ + i sin…

A: The rectangular form of a complex number is z=a+ib the polar form is z=rcosθ+isinθ

Q: If the complex number z = x + iy satisfies the condition |3z – 6i| = 3, then z lies on %3D a. Circle…

Q: Use the help of the polar representations of complex numbers to express (V2 + i)? in the form of a +…

A: Given, i=-1 2+i2

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

A: The given complex number is, 1+i12. The objective is to change the given complex number to the form…

Q: What is the product (4/3 – 4i)( /2 + V2i) in polar form? In what quadrant of the complex plane does…

A: First multiply both the factors and then find magnitude and the angle to convert it in the polar…

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: Which complex numbers z satisfy z = z? Explain.

Q: The magnitude of the complex number esin(teta)+jcos(teta) is

Q: b) Given the complex number z = -V32 + V32i. i. Express z in polar form. Vz and sketch ii. Obtain…

A: ----------------------------------------------------- Given: z = -32 + 32iAim: To express 'z' in…

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

A: Graph the given complex numbers as shown below.

Q: Let z be a complex number. Then cot(5z – n) is equal to

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: By plotting the points on a scratch piece of graph paper, determine which complex number has the…

Q: Let z be a complex number. Then tanh(2+JTi) is equal to cothz -cothz None of these -tanhz O tanhz O…

Q: . Ifa complex number z has modulus 2 and argument , then

Q: Determine the three cubic roots of the complex number (−10 + j6)5 in both polar and Cartesian forms,…

A: given a complex number say w=-10+6j5 now , -102+62=100+36 =136…

Q: The modulus of a complex number x+jy is equal to

A: The modulus of a complex number x+jy is equal to

Q: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: To convert the complex number -j into polar form a+ib=rcosθ+jsinθ, substitute 0 for a, -1 for b in…

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

A: Given Complex number:

Q: find the ser of Points Zinthe complex Plane that Satisfy the given equation. 12-31 = Rele) %3D

Q: Write the complex number z = 5-5/3i in trigonometric form (sometimes called polar for Express the…

Q: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: Given the complex number 18 in polar form and rectangular form.

Q: =(-1= v3i)³

Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these -tanhz tanhz cothz -cothz

Q: complex

Q: Write the complex number z=−7 −3i in polar form: z=r(cosθ+isinθ) where: r= and θ= The…

A: Consider the complex number, z = - 7 - 3i To compare the given complex with standard form of…

Q: Convert the complex number 8 cos +i sin to polar form. Give exact answers for r and 0 (no decimals).

Q: Let z be a complex number. Then cot(5z-pi)=coth(5z)?

A: According to the given information, it is required to check whether the given statement is true or…

Q: In the polar form of a complex number,r(cos θ + i sin θ), r is called the__________ and θ is called…

A: Given:Polar form of complex numberrcosθ +i sinθ

Q: Let z be a complex numbers. Then cot(5z-pi)=?

A: The objective is to find cot(5z-pi).

Question

A complex number z has |z| =5 and arg z = 132⁰.

i) Plot z on an argand diagram.
ii) Write z in polar form

iii) Write z in Cartesian form correct to two decimal place

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Transformation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the perpendicular bisectors of the three sides appear to meet at a common point?
For a regular tetrahedron, find the number of faces, vertices, and edges in the polyhedron. Then verify Eulers equation for that polyhedron.
Given the polar coordinates of a complex number as (5,(−3/4)π), the corresponding Cartesian form is?
What are the coordinates of point B on AC such that AB is 3/4 of AC
Specify in coordinates the projection made from point (1, 1) on the abscissa axis to the ordinate axis, with standard coordinates on each of them. Write the answer in the form [a+b*x] / [c+d*x]?
Suppose ABC is a triangle in the hyperbolic plane and D is a point on the segment BC. The segment AD divides ΔABC into two new triangles. How are the defects of ΔABD and ΔACD related to the defect of ΔABC?
Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply to a triangle and its image after the triangle has been translated, reflected, rotated, and dilated. Is your friend correct?
What where the contributions that Euclid made to Geometry?
Let A’B’C’ be the midpoint triangle of triangle ABC. In other words, A’, B’, and C’ are the midpoints of segments BC, CA, and AB, respectively. Show that triangles A’B’C’ and ABC have the same centroid.
Prove that there are 2 different triangles with Angle A = 30 degrees , side a = 3cm and side b = 4cm Use the sin or cosine rule