modify this class by taking out most of the previous methods and adding couple of methods as outlinedbelow.RecComplexNum-real: double-imaginary: double+RecComplexNum ()+RecComplexNum (re: double, im: double)+getPolarFromRec():PolarComplexNum+displayRecForm():voidSpecifications of the RecComplexNum Class:The constructor without argument will assign all field values to zero.• The constructor with parameter should accept the real and imaginary values as arguments, andassign these values to the fields real and imaginary.The getPolarFromRec() helper method will return the polar form of a RecComplexNum Object, asa PolarComplexNum object (you need to create this class in next-step). Inside this method themagnitude and angle of a PolarComplexNum Object will be calculated as follows:o Magnitude of a complex number a+bi = Va? + b² - here you are required to use yourMyMethod.myPow() method (you just created) and Math.sqrt() method.o The angle of a complex number is a+bi = tan-1º. Here you will use Math's atan(x) andtoDegrees(x) methods.o Once done, you will instantiate a PolarComplexNum object with these two values(magnitude and angle) and return it.The displayRecForm() method will print the RecComplexNum Object with its real and imaginaryparts (see the sample-output for an idea).aPart C:Add a third public class called PolarComplexNum in the Lab6Q package, and define this class using thefollowing UML diagram, and associated specifications. This class will hold on to the characteristics of aComplex class in Polar form.PolarComplexNum-magnitude: double-angle: double+PolarComplexNum ()+PolarComplexNum (mag: double, ang: double)+getRecFromPolar(): RecComplexNum+displayPolarForm():voidSpecifications of the PolarComplexNum Class:The constructor without argument will assign all field values to zero.The constructor with parameter should accept the magnitude and angle value (in degree) asarguments, and assign these values to the fields magnitude and angle. Question 1Create a package named Lab6Q. Follow the parts outlined below:Part A:Add a public class called MyMethod in the Lab6Q package. Just like Math class, this will be your class thatwill have all your public-static methods, which you will call with the aid of the class name, as you do forMath method calls. Add and define the following public-static methods:• public static double myPow(double x, int y) – this method will accept a real number x as base and aninteger number y as power, and return x'. Here instead of using the Math.pow() method you need todefine this method (Hint: this method has been solved in the handout)• public static double mySin(double x) – this method will accept a real number (in radian value) andreturn the sin of that real number. Here instead of using Math.sin() method, you will define thismethod using the following numerical expression:N(-1)":2 (2n + 1)!x(2n+1)sin x =n=0Where, n and N are integer values an0! = 1 for n = 0, and n! = 1 x 2 x 3 x 4 x.Pick N = 20 [Hint: Similar problem has been solved in Unit 5, slide 78 (brief version). Also, this slide hasbeen discussed in the pre-recorded lecture and during the class-lecture where it has been said that thiskind of questions are asked in the exam.] Just create a driver method here, and check whether it works ornot. sin(Math.PI/6) = 0.50. Do the same for the other methods in this class.• public static double myCos(double x) – this method will accept a real number (in radian value) andreturn the cos of that real number. Here instead of using Math.cos() method, you will define thismethod using the following numerical expression:..x n, for n0.-x(2n)(2n)!n=0cOs X =Pick N = 20. Once you try the above with Math.pow(() method, replace that with your myPow()method and see whether you get the same result or not.• public static void header and footer methods – copy these methods from the previous lab and pastethose here.Part B:Add a second public class called RecComplexNum in the Lab6Q package, and define this class using thefollowing UML diagram, and associated specifications. This class will hold on to the characteristics of aComplex class in Rectangular/Cartesian form. You can copy-paste your ComplexNumber class from theprevious lab just by copying from its package to your Lab6Q package in the IntelliJ IDE environment, thenafter right clicking on it, select Refractor →Rename, and then rename it as RecComplexNum. You need to

Question

modify this class by taking out most of the previous methods and adding couple of methods as outlinedbelow.RecComplexNum-real: double-imaginary: double+RecComplexNum ()+RecComplexNum (re: double, im: double)+getPolarFromRec():PolarComplexNum+displayRecForm():voidSpecifications of the RecComplexNum Class:The constructor without argument will assign all field values to zero.• The constructor with parameter should accept the real and imaginary values as arguments, andassign these values to the fields real and imaginary.The getPolarFromRec() helper method will return the polar form of a RecComplexNum Object, asa PolarComplexNum object (you need to create this class in next-step). Inside this method themagnitude and angle of a PolarComplexNum Object will be calculated as follows:o Magnitude of a complex number a+bi = Va? + b² - here you are required to use yourMyMethod.myPow() method (you just created) and Math.sqrt() method.o The angle of a complex number is a+bi = tan-1º. Here you will use Math's atan(x) andtoDegrees(x) methods.o Once done, you will instantiate a PolarComplexNum object with these two values(magnitude and angle) and return it.The displayRecForm() method will print the RecComplexNum Object with its real and imaginaryparts (see the sample-output for an idea).aPart C:Add a third public class called PolarComplexNum in the Lab6Q package, and define this class using thefollowing UML diagram, and associated specifications. This class will hold on to the characteristics of aComplex class in Polar form.PolarComplexNum-magnitude: double-angle: double+PolarComplexNum ()+PolarComplexNum (mag: double, ang: double)+getRecFromPolar(): RecComplexNum+displayPolarForm():voidSpecifications of the PolarComplexNum Class:The constructor without argument will assign all field values to zero.The constructor with parameter should accept the magnitude and angle value (in degree) asarguments, and assign these values to the fields magnitude and angle. Question 1Create a package named Lab6Q. Follow the parts outlined below:Part A:Add a public class called MyMethod in the Lab6Q package. Just like Math class, this will be your class thatwill have all your public-static methods, which you will call with the aid of the class name, as you do forMath method calls. Add and define the following public-static methods:• public static double myPow(double x, int y) – this method will accept a real number x as base and aninteger number y as power, and return x'. Here instead of using the Math.pow() method you need todefine this method (Hint: this method has been solved in the handout)• public static double mySin(double x) – this method will accept a real number (in radian value) andreturn the sin of that real number. Here instead of using Math.sin() method, you will define thismethod using the following numerical expression:N(-1)&#34;:2 (2n + 1)!x(2n+1)sin x =n=0Where, n and N are integer values an0! = 1 for n = 0, and n! = 1 x 2 x 3 x 4 x.Pick N = 20 [Hint: Similar problem has been solved in Unit 5, slide 78 (brief version). Also, this slide hasbeen discussed in the pre-recorded lecture and during the class-lecture where it has been said that thiskind of questions are asked in the exam.] Just create a driver method here, and check whether it works ornot. sin(Math.PI/6) = 0.50. Do the same for the other methods in this class.• public static double myCos(double x) – this method will accept a real number (in radian value) andreturn the cos of that real number. Here instead of using Math.cos() method, you will define thismethod using the following numerical expression:..x n, for n>0.-x(2n)(2n)!n=0cOs X =Pick N = 20. Once you try the above with Math.pow(() method, replace that with your myPow()method and see whether you get the same result or not.• public static void header and footer methods – copy these methods from the previous lab and pastethose here.Part B:Add a second public class called RecComplexNum in the Lab6Q package, and define this class using thefollowing UML diagram, and associated specifications. This class will hold on to the characteristics of aComplex class in Rectangular/Cartesian form. You can copy-paste your ComplexNumber class from theprevious lab just by copying from its package to your Lab6Q package in the IntelliJ IDE environment, thenafter right clicking on it, select Refractor →Rename, and then rename it as RecComplexNum. You need to

Accepted Answer

Create a package name Lab6Q
Define the below classes in this package :
MyMethod
RecComplexNum…