# Complex Numbers Calculator

With the online calculator for complex numbers, basic arithmetic operations such as addition, multiplication, division and many other values such as amount, square and polar representation can be calculated. Furthermore, the values of elementary complex functions are calculated. Simply enter the corresponding real and imaginary part of the complex number or numbers in the input fields and finish with Return and the values are calculated.

## Values of elementary functions f(z)

Number of digits:

$z=x+i\phantom{\rule{0.3em}{0ex}}y$

= $+\phantom{\rule{0.3em}{0ex}}i$

Complex number cartesian

Real part

Imaginary part

Conjugate

Amount

Argument

Polar

Square

Reciprocal

Square reciprocal

Square root

Exponential function

Logarithm

Sine

Cosine

Sine hyperbolicus

Cosine hyperbolicus

Tangent

## Calculator for addition / subtraction of complex numbers

Number of digits:

${z}_{1}={x}_{1}+i\phantom{\rule{0.3em}{0ex}}{y}_{1}$

x1= + i y1=

${z}_{2}={x}_{2}+i\phantom{\rule{0.3em}{0ex}}{y}_{2}$

x2= + i y2=

## Calculator for the multiplication of complex numbers

Number of digits:

${z}_{1}={x}_{1}+i\phantom{\rule{0.3em}{0ex}}{y}_{1}$

x1= + i y1=

${z}_{2}={x}_{2}+i\phantom{\rule{0.3em}{0ex}}{y}_{2}$

x2= + i y2=

## Calculator for the division of complex numbers

Number of digits:

${z}_{1}={x}_{1}+i\phantom{\rule{0.3em}{0ex}}{y}_{1}$

x1= + i y1=

${z}_{2}={x}_{2}+i\phantom{\rule{0.3em}{0ex}}{y}_{2}$

x2= + i y2=

## Calculator: Binomial theorem in the complex

The calculator computes the power of the given complex number with the binomial theorem.

n =

## Cartesian to Polar conversion

The calculator converts the given complex number from cartesian representation to the polar form. The angle is in radian.

Number of digits:

$z=x+i\phantom{\rule{0.3em}{0ex}}y$

= $+\phantom{\rule{0.3em}{0ex}}i$

Complex number cartesian

Conjugate complex number

Amount

Angle

Polar

## Polar to Cartesian conversion

The calculator converts the given complex number from polar representation to the cartesian form. The angle is in radian.

Number of digits:

$z=r\left(\mathrm{cos}\phi +i\mathrm{sin}\phi \right)$

r =

φ =

Complex number polar

Complex number cartesian

Conjugate

Amount

## More Calculators

Here is a list of of further useful sites:

Index Calculation rules for complex numbers Complex numbers graphical Graphical addition complex numbers Graphical multiplication complex numbers Graphical division complex numbers Complex functions