Write a function to_complex that accepts two input arguments containing the magnitude mag and angle theta of the complex number in degrees, and returns the complex number c.

Short Answer

Expert verified
To create the function `to_complex(mag, theta)`, first define the function with the input arguments magnitude `mag` and angle `theta`. Convert the angle from degrees to radians, using `theta_radians = (theta * math.pi) / 180`. Then, calculate the real and imaginary parts of the complex number by using the polar form formula `c = mag * (cos(theta_radians) + i * sin(theta_radians))`. Finally, return the complex number using the `complex()` function with the calculated real and imaginary parts. Here's the complete function: ```python def to_complex(mag, theta): import math theta_radians = (theta * math.pi) / 180 real_part = mag * math.cos(theta_radians) imag_part = mag * math.sin(theta_radians) return complex(real_part, imag_part) ```

Step by step solution

01

1. Define the function

First, we need to define a function called "to_complex" that takes two input arguments - the magnitude "mag" and the angle in degrees "theta". def to_complex(mag, theta): pass
02

2. Convert angle from degrees to radians

Inside the function, calculate the angle in radians using the given formula and store it in a variable, e.g., "theta_radians". def to_complex(mag, theta): theta_radians = (theta * math.pi) / 180
03

3. Calculate the real and imaginary parts

Using the polar form of complex numbers and the calculated angle in radians, find the real and imaginary parts of the complex number. def to_complex(mag, theta): theta_radians = (theta * math.pi) / 180 real_part = mag * math.cos(theta_radians) imag_part = mag * math.sin(theta_radians)
04

4. Return the complex number

Finally, return the complex number created using the calculated real and imaginary parts. def to_complex(mag, theta): import math theta_radians = (theta * math.pi) / 180 real_part = mag * math.cos(theta_radians) imag_part = mag * math.sin(theta_radians) return complex(real_part, imag_part) Now we have a function that takes the magnitude and angle of a complex number in degrees and returns the corresponding complex number.

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