The following instructions explain how to use the scientific complex number calculator for performing elementary and advanced computations with real, imaginary, and complex numbers.

Basic Operations

This real and imaginary number calculator lets you perform arithmetic and algebraic calculations with complex numbers.

• Use +, -, *, and / for the four basic arithmetic operations. You can also use × for multiplication and ÷ for division.
• Use ^ for exponentiation (raising to powers).
• Use ∥ for parallel sum (or reduced sum), a binary operation used in fields like electrical engineering.

Mathematical Functions

Our scientific calculator for complex numbers lets you include any standard mathematical functions with real, imaginary, or complex arguments in expressions, such as:

• Logarithmic functions
• Trigonometric functions and their inverses
• Hyperbolic functions and their inverses

Intermediate Calculations

Enable the Show Work option to display step-by-step calculations.

Result Conversion

Select Convert results to all forms. The complex number converter displays results in:

• Rectangular form: a + bi
• Polar form: r∠θ
• Trigonometric form: r(cosθ + isinθ)
• Other modular forms

Settings

Press the ⚙ (gear) button to adjust settings:

• Calculate as you type: Disable this option to manually evaluate expressions by pressing Calculate, which replaces STO. The stored expression can be recalled using RCL.
• Use j for imaginary unit: Choose to display results (output) using j (you can always use either or both i or j in expressions—input).
• Use asin instead of sin⁻¹, etc.: Customize notation for inverse trigonometric and inverse hyperbolic functions.
• Number Format | Output: Select between Fixed-point, Scientific, or Engineering notations in place of the default format
• Mobile Keyboard Control: Enable or disable Prevent system keyboard from popping up. This feature is tested on Android but may not work on iOS.

Error Messages: Click the ❓ icon to view error details.