You can use this Complex Calculator to calculate imaginary numbers and complex numbers in any form. Type in complex numbers, using **i** or **j** for the imaginary unit. You can also use thhis calculator as an Imaginary Number Calculator to find sin(i), √(i) for example.

If you use **j** it is recommended to select the relevant option provided (go to > **Use j for imaginary unit**. Doing so makes the calculator to display the results using **j**).

The Complex Number Calculator displays the result as you type. You can change this behaviour (go to and uncheck **calculate as you type**). The label of **STO** button changes to **Calculate**, pressing it evaluates the expression and also stores the expression which you can recall it by pressing **RCL**.

You can use *** or *×* for multiplication of complex numbers and */* or *÷* for division of complex numbers.

You can also input numbers in **scientific** or **engineering** notations, e.g., 1E6 or 1.2E-12, where the exponent is an integer. For any non-integer exponent such as decimal numbers, complex number or expressions, you must use parentheses, i.e., 2E(2.3) or 1.2E(1+2i).

Note: The function E() is defined as E(x) = 10^x. So E(2) is 100, which is the same as 1E2 (and not E2, which must be preceded by a literal real number).

The calculator optionally displays the result in **Fixed**, **Scientific** and **Engineering** notations. In **default** notation the calculator uses other notations to display the results of calculations depending on how big or small they are.

By checking **Show work** the calculator displays the intermediate calculations from start to end.

Also by checking **Convert complex number results to other forms** the Complex Number to Polar Form Calculator displays the results in standard form *a+bi* and optionally converts the result of expressions to **polar form** and other forms using Euler's formula:

**polar**(phasor, angular): r∠(θ)**exponential**: re^{iθ}**cis**: r(cos(θ)+ i sin(θ))**cis**(phasor, angular): rcis(θ)**modular**: r(a/r + b/r i)

Note: as the value of trigonometric functions depends on the angle mode chosen, by selecting **RAD**, **DEG** or **GRD** the calculator, needless to say, displays the computed values correspondingly. Note that, because *functions of complex numbers* may be defined by using the trig functions via Euler's formula, e^{ix} = cos(x)+ i*sin(x), their values depend on the angle mode selected although they may look *non-trigonometric*. For example, the value e^{2} is the same regardless of the angle mode selected. But the value of e^{i} depends on the angle mode although e^{i} looks non-trigonometric.

For mobile devices you can suppress (default) or activate the pop-up keyboard by checking or un-checking the **Prevent System keyboard from popping up** option.
This is tested on Android devices and may not currently work on iOS.

Click

to view error massage, if any.