Complex Number Calculator
This calculator helps you perform arithmetic operations with complex numbers, essential for students and professionals dealing with trigonometry and complex analysis.
Calculator
Results
Magnitude
0
Phase (radians)
0
Data Source and Methodology
All calculations are based on standard mathematical formulas for complex numbers. For detailed theories, refer to authoritative sources.
The Formula Explained
Magnitude: \( |z| = \sqrt{a^2 + b^2} \)
Phase: \( \theta = \tan^{-1}(\frac{b}{a}) \)
Glossary of Terms
- Real Part: The real component of the complex number.
- Imaginary Part: The imaginary component of the complex number.
- Magnitude: The distance from the origin to the point in the complex plane.
- Phase: The angle with the positive real axis.
Frequently Asked Questions (FAQ)
What is a complex number?
A complex number is a number that comprises a real and an imaginary part.
How do I calculate the magnitude?
The magnitude is calculated using the formula: \( |z| = \sqrt{a^2 + b^2} \).