1. Define a C structure complx for a complex number with two data members for the (real, imaginary) real and imaginary parts of the complex number. It should be able to handle any real numbers! Use typedef to make your program readable.

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Define a C structure complx for a complex number with two data
members for the

1. Define a C structure complx for a complex number with two data
members for the (real, imaginary) real and imaginary parts of the
complex number. It should be able to handle any real numbers! Use
typedef to make your program readable.
2. What we want to do next is to write a procedure to raise any complex
number to any integer power
(x + jy)"
Where x and y are real number and n is an integer!
3. What we want to do next is write (x + jy)as Rej®
where R = (x2 + y² ) and tan-1(0) = (2)
4. Then we can write (x + jy)" as R"e/n® and go back to write the result
as R"ejme as (R"co s(n®) + jR" sin(n0))
5. In your procedure (function) you will use for-loop to compute the value
of R". If you remember, we wrote very efficient programs to compute
the sin(x) and cos(x) functions. You may use those or include the
math library header file and use the trig functions
[sin( ),cos( ) and tan( )]
and the square-root functions only!
6. Note that the tan(x) is multi-valued. So you should check to see that
you are in the right quadrant!
7. The function should print the result on the screen in the form
Ans: ( x, jy) which should also be the value returned by the function to
main().
Transcribed Image Text:1. Define a C structure complx for a complex number with two data members for the (real, imaginary) real and imaginary parts of the complex number. It should be able to handle any real numbers! Use typedef to make your program readable. 2. What we want to do next is to write a procedure to raise any complex number to any integer power (x + jy)" Where x and y are real number and n is an integer! 3. What we want to do next is write (x + jy)as Rej® where R = (x2 + y² ) and tan-1(0) = (2) 4. Then we can write (x + jy)" as R"e/n® and go back to write the result as R"ejme as (R"co s(n®) + jR" sin(n0)) 5. In your procedure (function) you will use for-loop to compute the value of R". If you remember, we wrote very efficient programs to compute the sin(x) and cos(x) functions. You may use those or include the math library header file and use the trig functions [sin( ),cos( ) and tan( )] and the square-root functions only! 6. Note that the tan(x) is multi-valued. So you should check to see that you are in the right quadrant! 7. The function should print the result on the screen in the form Ans: ( x, jy) which should also be the value returned by the function to main().
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