Explore our free online **complex number calculator**, a powerful and easy-to-use **scientific calculator** designed to perform mathematical **operations** and **function evaluations** of **complex numbers**, including both **real** and **imaginary numbers**.

## Powerful Features for Calculation on Complex Numbers

Our comprehensive **real** and **imaginary number calculator** offers a wide range of functionalities for **complex numbers calculations**. Furthermore, the **complex numbers calculator** shows you the **work step-by-step**.

### Basic Operations

Perform basic operations – **addition**, **subtraction**, **multiplication**, and **division** – on **complex numbers**.

### Powers and Roots

Perform **power raising** and **root extracting** 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()**,

**, and**

`ψ()`

**, corresponding to the**

`ζ()`

**Gamma**,

**psi**, and

**zeta**functions, respectively.

## Seamless Rectangular and Polar Conversion

Our **real** and **imaginary number calculator** supports both **rectangular** (**standard**) ** a+bi** and

**polar**(

**phasor**)

**forms of**

`r∠(θ)`

**complex numbers**. Additionally, this

**rectangular / polar calculator**displays the results in various forms, including

**rectangular**(

**standard**),

**polar**(

**phasor**), and other

**modular**forms.

## Handle Complicated Complex Number Expressions with Ease

Our versatile calculator is a fully-developed *scientific* **complex number calculator** that can handle **complex number expressions** from basic arithmetic to advanced mathematical operations. It can easily compute expressions of **complex numbers**, from simple forms like (1+2i) - (3-4i) to more complicated forms like sin(1+2i) / ln(3+4i) + atan(1+3i) - 4∠(1.8).