Imaginary Number Calculator

Using the Imaginary Number Calculator: A Step-by-Step Guide

Welcome to the Imaginary Number Calculator. This tool allows you to perform arithmetic operations on complex numbers, as well as find the magnitude and angle of the result. Follow the steps below to effectively use the calculator.

Step 1: Input the First Complex Number

• Real Part (First Number): Enter the real part of the first complex number in the designated field. This input is required to proceed with the calculation.
• Imaginary Part (First Number): Enter the imaginary part of the first complex number. Remember, this is also a required field.

Step 2: Input the Second Complex Number

• Real Part (Second Number): Enter the real part of the second complex number. You must fill this field before moving forward.
• Imaginary Part (Second Number): Enter the imaginary part of the second complex number, which is similarly required.

Step 3: Select the Operation

Select the arithmetic operation you wish to perform on the two complex numbers. The available options are:

• Addition: Adds the respective real and imaginary parts of the two complex numbers.
• Subtraction: Subtracts the respective real and imaginary parts of the second number from the first.
• Multiplication: Multiplies the two complex numbers using the distributive property.
• Division: Divides the first complex number by the second, provided the second number is not zero.

This selection is required in order to compute the result.

Step 4: View the Results

Once you have provided all the necessary inputs and selected your desired operation, the calculator will display the results in the following fields:

• Real Part Result: Shows the real component of the resultant complex number, formatted to three decimal places.
• Imaginary Part Result: Displays the imaginary component of the resultant complex number, formatted to three decimal places and followed by ‘i’ to indicate the imaginary unit.

Step 5: Analyze the Advanced Calculations

In addition to the basic arithmetic operations, the calculator provides two advanced calculations:

• Magnitude: Calculates the magnitude (or modulus) of the resultant complex number, which is the distance from the origin (0,0) to the point (Real, Imaginary) in the complex plane. This is formatted to three decimal places.
• Angle (in radians): Computes the angle (or argument) of the resultant complex number in radians, formatted to three decimal places with ‘ rad’ as a suffix to indicate the unit.

By following these steps, you can effectively utilize the Imaginary Number Calculator to perform essential calculations on complex numbers.