MATH CALCULATOR
Complex Number to Rectangular Form Calculator
Convert complex numbers to rectangular form with our easy-to-use calculator.
What is the Complex Number to Rectangular Form Calculator & How does it work?
A complex number is a number that can be expressed in the form , where i is the imaginary unit satisfying i2 = -1. The rectangular form of a complex number represents it as a point in the complex plane with coordinates (a, b).
To convert a complex number from polar form to rectangular form, you can use the following formulas:
Similarly, to convert from rectangular form to polar form:
a + bi
a = real part, b = imaginary part
To convert a complex number from polar form to rectangular form, you can use the following formulas:
a = r cos(theta)
r = magnitude, ΞΈ = angle in radians
Similarly, to convert from rectangular form to polar form:
r = sqrt{a^2 + b^2}
r = magnitude, a and b are the real and imaginary parts respectively
Parameters
Resultβ
Frequently Asked Questions
How do I convert a complex number from polar to rectangular form?
To convert, use the formulas: a = r * cos(ΞΈ) and b = r * sin(ΞΈ), where r is the magnitude and ΞΈ is the angle in radians.
What are the steps to use this calculator?
Enter the magnitude (r) and angle (ΞΈ) of your complex number, then click ‘Convert’ to get the rectangular form.
Can I convert a complex number from rectangular to polar form using this calculator?
No, this calculator specifically converts from polar to rectangular form. For the reverse conversion, use a different tool or manually apply the formulas: r = sqrt(a^2 + b^2) and ΞΈ = arctan(b/a).
What is the imaginary unit i in complex numbers?
The imaginary unit i is defined as the square root of -1, used to represent the imaginary part of a complex number.
How do I interpret the result from this calculator?
The result will give you the real part (a) and the imaginary part (b) of the complex number in rectangular form, represented as a + bi.
Results are for informational purposes only and do not constitute professional advice.