Explore our free online comprehensive complex number calculator. This powerful scientific complex number calculator can evaluate and simplify mathematical expressions containing real and imaginary numbers in any form. With user-friendly features, you can input complex numbers in both rectangular a+bi
and polar r∠(θ)
forms directly into your expressions. It can handle complex number expressions ranging from simple forms like (1+2i) - (3-4i) to more intricate forms like sin(1+2i)/ln(3+4i) + atan(1+3i) - 4∠(1.8). The calculator converts the results to both standard and various modular forms, such as polar.
Seamless Rectangular and Polar Conversion
The complex number calculator performs conversions between rectangular and polar forms internally, and can display the results in various forms, including rectangular (standard) a+bi
and polar (phasor) r∠(θ)
, and other modular forms.
Powerful Features for Calculation on Complex Numbers
This real and imaginary number calculator provides step-by-step solutions and provides the following functionalities.
Basic Operations
Perform basic operations – addition, subtraction, multiplication, and division – on complex numbers.
Powers and Roots
Calculate powers and principal roots of complex numbers.
Advanced Mathematical Operations
Calculate expressions involving trigonometric, hyperbolic, exponential, and logarithmic functions that have real, imaginary, or complex numbers as arguments.
Special Function Evaluation
Evaluate functions like Γ()
, ψ()
, and ζ()
, corresponding to the Gamma, psi, and zeta functions, respectively.