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1. Define a C structure complx for a complex number with two data
members for the (real, imaginary) of the complex number. It should handle any real numbers! Use typedef to make your program readable.
2.write a procedure to raise any complex number to any integer power (π‘₯ + 𝑗𝑦)^n
Where π‘₯ and 𝑦 are real number and 𝑛 is an integer!
3.write (π‘₯ + 𝑗𝑦)π‘Žπ‘  𝑅e^π‘—πœƒ where 𝑅 = √(π‘₯^2 + 𝑦^2) π‘Žπ‘›π‘‘ tan^βˆ’1(πœƒ) = (𝑦/π‘₯)
4. Then write (π‘₯ + 𝑗𝑦)^𝑛 π‘Žπ‘  𝑅^𝑛*𝑒^π‘—π‘›πœƒ and go back to write the result as 𝑅^𝑛*𝑒^π‘—π‘›πœƒ π‘Žπ‘  (𝑅^𝑛*π‘π‘œπ‘ (π‘›πœƒ) + 𝑗𝑅^𝑛*𝑠𝑖𝑛(π‘›πœƒ))
5. In your procedure (function) you will use for-loop to compute the value
of 𝑅^𝑛. Write programs to compute the 𝑠𝑖𝑛(π‘₯) π‘Žπ‘›π‘‘ π‘π‘œπ‘ (π‘₯) functions. You may
use the math library header file and use the trig functions
[𝑠𝑖𝑛( ) , π‘π‘œπ‘ ( ) π‘Žπ‘›π‘‘ π‘‘π‘Žπ‘›( )] and the square-root functions only!
6. Note that the π‘‘π‘Žπ‘›(π‘₯) is multi-valued. check if it is in the fourth quadrant
7. The function should print the result on the screen in the form
Ans: ( x, jy)and return the function to main()

What I have tried:

typedef struct complex
float real,imag;
int main()
Updated 17-May-21 21:29pm

Start with some C tutorial to learn coding. You MUST understand the mathematical theory of your task to write it in code.

- install Visual Studio to have an excellent IDE
- give explaining names to all code pieces and write some comments
- use functions and structs to seperate tasks and data
- make a lot of printf output
- use the debugger
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Well, your struct is a (little) start. You know, you can raise a complex number by iterative multiplication by itself[^].
I give you an example
#include <iostream>
using namespace std;

struct complex
  double re;
  double im;

ostream & operator << (ostream & os, const complex & c)
  os << << "+" << << "j ";
  return os;

complex complex_multiply( const complex & factor1, const complex & factor2)
  complex result; = * - *; = * + *;
  return result;

int main()
  complex c{1,1};

  cout << "c=" << c << ", c^2 = " << complex_multiply(c,c) << endl;

Completing the exercises, now, is up to you.
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