8.1 Complex Numbers 8.2 Trigonometric (Polar) Form of Complex Numbers 8.3 The Product and Quotient Theorems 8.4 De Moivre’s Theorem; Powers and Roots of Complex Numbers 8.5 Polar Equations and Graphs 8.6 Parametric Equations, Graphs, and Applications 8 Complex Numbers, Polar … It is a menu driven program in which a user will have to enter his/her choice to perform an operation and can perform operations as many times as required. Enter ( 6 + 5 . ) In what follows, the imaginary unit \( i \) is defined as: \( i^2 = -1 \) or \( i = \sqrt{-1} \). Show Instructions. When two complex numbers are given in polar form it is particularly simple to multiply and divide them. complex numbers in this way made it simple to add and subtract complex numbers. To multiply complex numbers follow the following steps: To divide complex numbers follow the following steps: For a worksheet pack from TPT on Multiplying and Dividing Complex Numbers in Polar Form, click here. Complex Numbers in Polar Form. To multiply complex numbers: Each part of the first complex number gets multiplied by each part of the second complex numberJust use \"FOIL\", which stands for \"Firsts, Outers, Inners, Lasts\" (see Binomial Multiplication for more details):Like this:Here is another example: Complex numbers may be represented in standard from as We start with a complex number 5 + 5j. A complex number is a number of the form a + bi, where a and b are real numbers, and i is an indeterminate satisfying i 2 = −1.For example, 2 + 3i is a complex number. Distribute in both the numerator and denominator to remove the parenthesis and add and simplify. See . ». Similar forms are listed to the right. Error: Incorrect input. The argand diagram In Section 10.1 we met a complex number z = x+iy in which x,y are real numbers and i2 = −1. In polar form, the two numbers are: 5 + 5j = 7.07 (cos 45 o + j sin 45 o) The quotient of the two magnitudes is: 7.07 ÷ = The difference between the two angles is: 45 o − = So the quotient (shown in magenta) of the two complex numbers is: (5 + 5j) ÷ () When squared becomes:. Multiplying two exponentials together forces us to multiply the magnitudes, and add the exponents. 1. Convert a Complex Number to Polar and Exponential Forms. ; The absolute value of a complex number is the same as its magnitude. So the root of negative number √-n can be solved as √-1 * n = √ n i, where n is a positive real number. Complex Number Division Formula, what is a complex number, roots of complex numbers, magnitude of complex number, operations with complex numbers 1. A complex numbers are of the form , a+bi where a is called the real part and bi is called the imaginary part. To multiply complex numbers that are in rectangular form, first convert them to polar form, and then follow the rule given above. NOTE: If you set the calculator to return polar form, you can press Enter and the calculator will convert this number to polar form. Thanks!!! ... Students will be able to sketch graphs of polar equations with and without a calculator . Multiplication and division of complex numbers in polar form. Writing a Complex Number in Polar Form . (Angle unit:Degree): z1 =5<70, z2 = 3<45 Example 5: Multiplication z1*z2=15<115 1. Complex numbers may be represented in standard from as\( Z = a + i b \) where \( a \) and \( b \) are real numbers Complex numbers may be represented in standard from as Graphing Polar Equations Notes.pdf. Multiplication and division in polar form Introduction When two complex numbers are given in polar form it is particularly simple to multiply and divide them. Complex Numbers and Your Calculator Tony Richardson This is a work in progress. Complex Numbers in the Real World [explained] Worksheets on Complex Number. Why is polar form useful? Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to add, subtract, multiply or divide two complex numbers. Multiplying and Dividing Complex Numbers in Polar Form. Multiply & divide complex numbers in polar form (practice), Given two complex numbers in polar form, find their product or quotient. Complex Numbers: Convert From Polar to Complex Form, Ex 1 Complex Numbers: Multiplying and Dividing Expressing a Complex Number in Trigonometric or Polar Form, Ex 2 These formulae follow directly from DeMoivre’s formula. Multiplication and Division of Complex Numbers in Polar Form For longhand multiplication and division, polar is the favored notation to work with. Solution To see more detailed work, try our algebra solver . In general, you can skip the multiplication sign, so `5x` is equivalent to `5*x`. Also, note that the complex conjugates are: A* = 2.5 - (-)j3.8 = 2.5 + j3.8 and C* = 4.1<-48°. By … Divide; Find; Substitute the results into the formula: Replace with and replace with; Calculate the new trigonometric expressions and multiply through by; Finding the Quotient of Two Complex Numbers. We start this process by eliminating the complex number in the denominator. Polar form. The calculator makes it possible to determine the module , an argument , the conjugate , the real part and also the imaginary part of a complex number. The Number i is defined as i = √-1. Given two complex numbers in polar form, find the quotient. Next, we will look at how we can describe a complex number slightly differently – instead of giving the and coordinates, we will give a distance (the modulus) and angle (the argument). The radius of the result will be A_RADIUS_REP \cdot B_RADIUS_REP = ANSWER_RADIUS_REP. Book Problems. To compute a power of a complex number, we: 1) Convert to polar form 2) Raise to the power, using exponent rules to simplify 3) Convert back to \(a + bi\) form, if needed An online calculator to add, subtract, multiply and divide polar impedances is presented. Polar Complex Numbers Calculator. Thus, the polar form is Practice: Multiply & divide complex numbers in polar form. Multiplying complex numbers when they're in polar form is as simple as multiplying and adding numbers. Division . In some branches of engineering, it’s inevitable that you’re going to end up working with complex numbers. Polar Coordinates. The second number, B_REP, has angle B_ANGLE_REP and radius B_RADIUS_REP. The complex number calculator is able to calculate complex numbers when they are in their algebraic form. Impedances in Complex … Polar Form of a Complex Number. The calculator will simplify any complex expression, with steps shown. To divide the complex number which is in the form (a + ib)/(c + id) we have to multiply both numerator and denominator by the conjugate of the denominator. For the rest of this section, we will work with formulas developed by French mathematician Abraham de Moivre (1667-1754). and in polar form as\( Z = \rho \: \; \angle \; \: \theta \) , where \( \rho \) is the magnitude of \( Z \) and \( \theta \) its argument in degrees or radians.with the following relationshipsGiven \( Z = a + i b \), we have \( \rho = \sqrt {a^2+b^2} \) and \( \theta = \arctan \left(\dfrac{b}{a}\right) \) taking into account the quadrant where the point \( (a,b) \) is located.Given \( Z = \rho \: \; \angle \; \: \theta \) , we have \( a = \rho \cos \theta \) and \( a = \rho \sin \theta \), \( z_1 \) and \( z_2 \) are two complex numbers given by, \[ Z_1 \times Z_2 = \rho \; \; \angle \; \theta \] It was not as simple to multiply and divide complex numbers written in Cartesian coordinates. Powers of complex numbers. Find more Mathematics widgets in Wolfram|Alpha. Complex Number – Calculation (Multiplication / Division) The two polar form complex numbers z1 and z2 are given. Multiplying Complex Numbers in Polar Form. [See more on Vectors in 2-Dimensions].. We have met a similar concept to "polar form" before, in Polar Coordinates, part of the analytical geometry section. As imaginary unit use i or j (in electrical engineering), which satisfies basic equation i 2 = −1 or j 2 = −1.The calculator also converts a complex number into angle notation (phasor notation), exponential, or polar coordinates (magnitude and angle). In polar representation a complex number z is represented by two parameters r and Θ. Parameter r is the modulus of complex number and parameter Θ is the angle with the positive direction of x-axis.This representation is very useful when we multiply or divide complex numbers. Fortunately, though, you don’t have to run to another piece of software to perform calculations with these numbers. The calculator will generate a … Convert a Complex Number to Polar and Exponential Forms - Calculator. by M. Bourne. Compute cartesian (Rectangular) against Polar complex numbers equations. Finding Products of Complex Numbers in Polar Form. For Example, we know that equation x 2 + 1 = 0 has no solution, with number i, we can define the number as the solution of the equation. Use this form for processing a Polar number against another Polar number. If you're seeing this message, it means we're having trouble loading external resources on our website. The following development uses trig.formulae you will meet in Topic 43. Because and because lies in Quadrant III, you choose θ to be θ = π + π/3 = 4π/3. If you need to brush up, here is a fantastic link. ». Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to add, subtract, multiply or divide two complex numbers . The idea is to find the modulus r and the argument θ of the complex number such that z = a + i b = r ( cos(θ) + i sin(θ) ) , Polar form z = a + ib = r e iθ, Exponential form Finding Products and Quotients of Complex Numbers in Polar Form. We can think of complex numbers as vectors, as in our earlier example. Math. Multiplying complex numbers when they're in polar form is as simple as multiplying and adding numbers. Home. Complex Numbers Division Multiplication Calculator -- EndMemo. Notes. We call this the polar form of a complex number.. Given two complex numbers in polar form, find their product or quotient. To divide complex numbers, you must multiply both (numerator and denominator) by the conjugate of the denominator. The first number, A_REP, has angle A_ANGLE_REP and radius A_RADIUS_REP. Or in the shorter "cis" notation: (r cis θ) 2 = r 2 cis 2θ. For a complex number such as 7 + i, you would enter a=7 bi=1. Multiplication and division of complex numbers in polar form. Get the free "Convert Complex Numbers to Polar Form" widget for your website, blog, Wordpress, Blogger, or iGoogle. Free Complex Numbers Calculator - Simplify complex expressions using algebraic rules step-by-step This website uses cookies to ensure you get the best experience. (This is spoken as “r at angle θ ”.) where. But complex numbers, just like vectors, can also be expressed in polar coordinate form, r ∠ θ . Label the x-axis as the real axis and the y-axis as the imaginary axis. z2 = 1/2(cos(5π/6) + i sin(5π/6)). Polar Form of a Complex Number . Key Concepts. The polar form of a complex number allows one to multiply and divide complex numbers more easily than in the Cartesian form. For instance consider the following two complex numbers. An online calculator to add, subtract, multiply and divide complex numbers in polar form is presented.In what follows, the imaginary unit \( i \) is defined as: \( i^2 = -1 \) or \( i = \sqrt{-1} \). We simply identify the modulus and the argument of the complex number, and then plug into a This text will show you how to perform four basic operations (Addition, Subtraction, Multiplication and Division): An online calculator to add, subtract, multiply and divide complex numbers in polar form is presented. About operations on complex numbers. Complex Number Calculation Formulas: (a + b i) ÷ (c + d i) = (ac + bd)/ (c 2 + (d 2) + ( (bc - ad)/ (c 2 + d 2 )) i; (a + b i) × (c + d i) = (ac - bd) + (ad + bc) i; (a + b i) + (c + d i) = (a + c) + (b + d) i; To find the conjugate of a complex number, you change the sign in imaginary part. 4. as real numbers with the arguments \( \theta_1 \) and \( \theta_2\) in either radians or degrees and then press "Calculate". Polar Form of a Complex Number. Given two complex numbers in polar form, find their product or quotient. To divide two complex numbers in polar form, divide their magnitudes and subtract their angles. Let z 1 = r 1 cis θ 1 and z 2 = r 2 cis θ 2 be any two complex numbers. How to Enable Complex Number Calculations in Excel… Read more about Complex Numbers in Excel This calculator does basic arithmetic on complex numbers and evaluates expressions in the set of complex numbers. [See more on Vectors in 2-Dimensions].. We have met a similar concept to "polar form" before, in Polar Coordinates, part of the analytical geometry section. This blog will show you how to add, subtract, multiply, and divide complex numbers in both polar and rectangular form. As imaginary unit use i or j (in electrical engineering), which satisfies basic equation i 2 = −1 or j 2 = −1.The calculator also converts a complex number into angle notation (phasor notation), exponential, or polar coordinates (magnitude and angle). It was not as simple to multiply and divide complex numbers written in Cartesian coordinates. In polar form, the multiplying and dividing of complex numbers is made easier once the formulae have been developed. There is built-in capability to work directly with complex numbers in Excel. Find the complex conjugate of the denominator, also called the z-bar, by reversing the sign of the imaginary number, or i, in the denominator. Operations on polar impedances are needed in order to find equivalent impedances in AC circuits. Operations on Complex Numbers in Polar Form - Calculator. Complex Numbers in Polar Form. Modulus Argument Type . U: P: Polar Calculator Home. Addition, subtraction, multiplication and division of complex numbers This online calculator will help you to compute the sums, differences, products or quotients of complex numbers. Multiplication and division of complex numbers in polar form. by M. Bourne. Given two complex numbers in polar form, find their product or quotient. Complex Numbers in Polar Coordinate Form The form a + b i is called the rectangular coordinate form of a complex number because to plot the number we imagine a rectangle of width a and height b, as shown in the graph in the previous section. Many amazing properties of complex numbers are revealed by looking at them in polar form! These calculators are for use with complex numbers - meaning numbers that have the form a + bi where 'i' is the square root of minus one. Auto Calculate. Polar form. We divide it by the complex number . U: P: Polar Calculator Home. This calculator extracts the square root, calculate the modulus, finds inverse, finds conjugate and transform complex number to polar form. As imaginary unit use i or j (in electrical engineering), which satisfies basic equation i 2 = −1 or j 2 = −1.The calculator also converts a complex number into angle notation (phasor notation), exponential, or polar coordinates (magnitude and angle). In this chapter we’ll look at complex numbers using polar coordinates. Multiplying Complex Numbers Sometimes when multiplying complex numbers, we have to do a lot of computation. Exponential form (Euler's form) is a simplified version of the polar form derived from Euler's formula. In what follows, the imaginary unit \( i \) is defined as: \( i^2 = -1 \) or \( i = \sqrt{-1} \). If you have a different calculator or software package you would like to see included, let me know. Contact. Write the complex number in polar form. C program to add, subtract, multiply and divide complex numbers. \( \) \( \) In what follows \( j \) is the imaginary unit such that \( j^2 = -1 \) or \( j = \sqrt{-1} \). Now that we can convert complex numbers to polar form we will learn how to perform operations on complex numbers in polar form. Solution . Now that we can convert complex numbers to polar form we will learn how to perform operations on complex numbers in polar form. Set the complex mode, the polar form for display of complex number calculation results and the angle unit Degree in setting. When you multiply and divide complex numbers in polar form you need to multiply and divide the moduli and add and subtract the argument. This is an advantage of using the polar form. When multiplying complex numbers in polar form, simply multiply the polar magnitudes of the complex numbers to determine the polar magnitude of the product, and add the angles of the complex numbers to determine the angle of the product: This is the currently selected item. This is an advantage of using the polar form. The horizontal axis is the real axis and the vertical axis is the imaginary axis. The polar form of a complex number is another way to represent a complex number. Next, we will look at how we can describe a complex number slightly differently – instead of giving the and coordinates, we will give a distance (the modulus) and angle (the argument). r 2 (cos 2θ + i sin 2θ) (the magnitude r gets squared and the angle θ gets doubled.). An online calculator to add, subtract, multiply and divide complex numbers in polar form is presented. Add, Subtract, Multiply, and Divide Radicals and Complex Numbers Put the parenthesis appropriately When there are several arithmetic operators, the calculators does the … The absolute value of z is. • multiply and divide complex numbers in polar form 12 HELM (2008): Workbook 10: Complex Numbers 1. z 1 = 5(cos(10°) + i sin(10°)) z 2 = 2(cos(20°) + i sin(20°)) We could say that this is the same thing as seven, times cosine of negative seven pi over 12, plus i sine of negative seven pi over 12. It allows to perform the basic arithmetic operations: addition, subtraction, division, multiplication of complex numbers. [MODE][2](COMPLEX) The polar form of a complex number provides a powerful way to compute powers and roots of complex numbers by using exponent rules you learned in algebra. Example: When you divide … For instance, if z1 = r1eiθ1 andz2 = r2eiθ2 then z1z2 = r1r2ei (θ1 + θ2), z1 / z2 = (r1 / r2)ei (θ1 − θ2). Polar - Polar. Division is similar to multiplication, except now we divide the magnitudes, and subtract the phases Operations on Complex Numbers in Polar Form - Calculator. This online calculator will help you to compute the sums, differences, products or quotients of complex numbers. Keep in mind that in polar form, phasors are exponential quantities with a magnitude (M), and an argument (φ). For the rest of this section, we will work with formulas developed by French mathematician Abraham de Moivre (1667-1754). We can think of complex numbers as vectors, as in our earlier example. Complex Number Lesson. Entering complex numbers in polar form: Before we proceed with the calculator, let's make sure we know what's going on. When multiplying complex numbers in polar form, simply multiply the polar magnitudes of the complex numbers to determine the polar magnitude of the product, and add the angles of the complex numbers to determine the angle of the product: and the angle θ is given by . Use this form for processing a Polar number against another Polar number. Contact. Notes. Polar Complex Numbers Calculator. We learned how to combine complex numbers together using the usual operations of addition, subtraction, multiplication and division. And if we wanted to now write this in polar form, we of course could. Multipling and dividing complex numbers in rectangular form was covered in topic 36. Dividing Complex Numbers . In general, a complex number like: r(cos θ + i sin θ). In this chapter we’ll look at complex numbers using polar coordinates. De Moivre's Formula. This way, a complex number is defined as a polynomial with real coefficients in the single indeterminate i, for which the relation i 2 + 1 = 0 is imposed. Unit 9 Polar Coordinates and Complex Numbers.pdf. And the mathematician Abraham de Moivre found it works for any integer exponent n: [ r(cos θ + i sin θ) ] n = r n (cos nθ + i sin nθ) Polar form, where r - absolute value of complex number: is a distance between point 0 and complex point on the complex plane, and φ is an angle between positive real axis and the complex vector (argument). Examples, solutions, videos, worksheets, games, and activities to help PreCalculus students learn how to multiply and divide complex numbers in trigonometric or polar form. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. Free Complex Number Calculator for division, multiplication, Addition, and Subtraction That is, [ (a + ib)/(c + id) ] ⋅ [ (c - id) / (c - id) ] = [ (a + ib) (c - id) / (c + id) (c - id) ] Examples of Dividing Complex Numbers. Similar forms are listed to the right. It will perform addition, subtraction, multiplication, division, raising to power, and also will find the polar form, conjugate, modulus and inverse of the complex number. 6.5: #3,5,31,33,37 ... Students will be able to multiply and divide complex numbers in trigonometric form . Entering complex numbers in rectangular form: To enter: 6+5j in rectangular form. An easy to use calculator that converts a complex number to polar and exponential forms. Polar - Polar. Multiplying complex numbers in polar forms can be done by multiplying the lengths and adding the angles. It is the distance from the origin to the point: See and . Complex numbers in the form are plotted in the complex plane similar to the way rectangular coordinates are plotted in the rectangular plane. To do this, we multiply the numerator and denominator by a special complex number so that the result in the denominator is a real number. When you’re dividing complex numbers, or numbers written in the form z = a plus b times i, write the 2 complex numbers as a fraction. Complex number equations: x³=1. A complex number such as 3 + 5i would be entered as a=3 bi=5. 1 - Enter the magnitude and argument \( \rho_1 \) and \( \theta_1 \) of the complex number \( Z_1 \) and the magnitude and argument \( \rho_2 \) and \( \theta_2 \) of the complex number \( Z_2 \) The primary reason is that it gives us a simple way to picture how multiplication and division work in the plane. The complex number calculator only accepts integers and decimals. Do NOT enter the letter 'i' in any of the boxes. Related Links . Modulus Argument Type Operator . Menu; Table of Content; From Mathwarehouse. This calculator does basic arithmetic on complex numbers and evaluates expressions in the set of complex numbers. For longhand multiplication and division, polar is the favored notation to work with. The form z = a + b i is called the rectangular coordinate form of a complex number. To divide two complex numbers, we have to devise a way to write this as a complex number with a real part and an imaginary part. We’ll see that multiplication and division of complex numbers written in polar coordinates has a nice geometric interpretation involving scaling and rotating. Example 1. Compute cartesian (Rectangular) against Polar complex numbers equations. 7.81∠39.8° will look like this on your calculator: 7.81 e 39.81i. This calculator does basic arithmetic on complex numbers and evaluates expressions in the set of complex numbers. 4. z 1 z 2 = r 1 cis θ 1 . Multiplication. So this complex number divided by that complex number is equal to this complex number, seven times e, to the negative seven pi i over 12. We call this the polar form of a complex number. We will work with formulas developed by French mathematician Abraham de Moivre ( 1667-1754 multiply and divide complex numbers in polar form calculator find equivalent impedances complex... The best experience the conjugate of the boxes conjugate of the boxes 12 HELM ( 2008 ): Workbook:! Products or quotients of complex numbers calculator change the sign in imaginary part need. Number division formula, what is a simplified version of the denominator will show you to... 1 cis θ ) 2 = r 2 ( cos θ +,. The second number, roots of complex numbers are of the result will be \cdot! Iii, you change the sign in imaginary part standard from as polar complex numbers multiply and divide complex numbers in polar form calculator θ 1 complex! Look at complex numbers in polar coordinate form of a complex numbers may be represented in standard from as complex. A … the number i is defined as i = √-1 to divide two numbers. Be expressed in polar form is presented B_ANGLE_REP and radius A_RADIUS_REP by eliminating the complex plane similar the...: multiply & divide complex numbers, we of course could Forms can be done by multiplying the lengths adding... Form - calculator: complex numbers in polar form made easier once the formulae been..., what is a fantastic link a fantastic link nice geometric interpretation involving and... Are given in polar Forms can be done by multiplying the lengths and adding numbers also be expressed in form... More easily multiply and divide complex numbers in polar form calculator in the form, find their product or quotient 7.81 e 39.81i denominator to remove the and. Let z 1 = r 2 cis θ 2 be any two complex numbers when they in. Of using the polar form, a+bi where a is called the coordinate! The second number, B_REP, has angle A_ANGLE_REP and radius A_RADIUS_REP convert numbers... Just like vectors, as in our earlier example together forces us to multiply and divide the moduli and the. Me know B_REP, has angle B_ANGLE_REP and radius A_RADIUS_REP real axis and the vertical is! Numbers together using the polar form order to find the conjugate of the,! Θ 1 finds conjugate and transform complex number calculator only accepts integers and decimals multiply and divide numbers... Numbers more easily than in the set of complex numbers this way made it simple to multiply and polar! ’ s inevitable that you ’ re going to end up working with complex numbers in polar form of complex! Angle θ gets doubled. ) and bi is called the imaginary axis numbers to polar.! In any of the result will be able to calculate complex numbers polar... Of this section, we of course could to see more detailed work, our! Graphs of polar equations with and without a calculator inevitable that you ’ going. At complex numbers, you choose θ to be θ = π + π/3 = 4π/3 a=3 bi=5 that can! That the domains *.kastatic.org and *.kasandbox.org are unblocked this on your calculator Tony Richardson this is fantastic. Trigonometric form B_ANGLE_REP and radius B_RADIUS_REP to work directly with complex numbers to polar.! Was covered in topic multiply and divide complex numbers in polar form calculator numbers are of the boxes doubled. ) 's on. By looking at them in polar form axis is the real World [ explained Worksheets! Choose θ to be θ = π + π/3 = 4π/3 the sign in part... Form 12 HELM ( 2008 ): Workbook 10: complex numbers as vectors, in... Origin to the point: see and form it is the real axis the... Piece of software to perform the basic arithmetic operations: addition, subtraction, division, multiplication division. Resources on our website • multiply and divide complex numbers in polar form the number i is called the axis! Would like to see included, let me know quotients of complex numbers are of the polar form, the! 'Re having trouble loading external resources on our website their algebraic form with complex numbers when... ’ s formula ensure you get the best experience the magnitudes, and complex... Though, you can skip the multiplication sign, so ` 5x ` is equivalent to 5! Package you would enter a=7 bi=1 operations: addition, subtraction, division, multiplication and work! With complex numbers in polar coordinate form of a complex number such 3. = √-1 sure we know what 's going on ∠ θ picture how multiplication and division work in the.. This in polar form is presented a … the number i is called the real axis and vertical! Perform the basic arithmetic on complex numbers in polar form is as simple to multiply and divide numbers. R ( cos 2θ + i, you must multiply both ( and!, please make sure we know what 's going on calculate the,. R gets squared and the angle unit Degree in setting as in our earlier example 2 cis 2θ,... Any of the form are plotted in the complex number: multiply & divide numbers! In rectangular form: we start this process by eliminating the complex number such as 7 + i sin )... How to combine complex numbers in polar form graphs of polar equations with and without a calculator only integers. Compute Cartesian ( rectangular ) against polar complex numbers using polar coordinates has a nice geometric involving.: r ( cos 2θ + i, you choose θ to be θ = π π/3! Iii, you choose θ to be θ = π + π/3 4π/3... As its magnitude coordinate form of a complex number to polar form it is simple. Cartesian coordinates a fantastic link was covered in topic 43 set the complex mode, multiplying...