Complex Number Calculator Online
The most comprehensive Online Complex Number Calculator that evaluates any expression containing real or complex numbers and shows step-by-step work. Use this complex number calculator the same way as you would use a scientific calculator to evaluate algebraic, trigonometric, logarithmic, hyperbolic, and in general, all types of functions with real or complex number argument. The complex calculator optionally converts the result to polar (phasor), exponential and other modular forms using the Euler's formula. Instruction

Calculate as you type
Number Notation — Format Result

Automatic (Default)
Fixed
Scientific
Engineering
Close
i
π
e
∠
re
im

√
7
4
1
.
x²

³√
8
5
2
0
x³

(
9
6
3
^
1/x

)
+
−
×
/
E

exp
ln
log
log₂
abs
Γ
ψ

sin
cos
tan
csc
sec
cot

asin
acos
atan
acsc
asec
acot

sinh
cosh
tanh
csch
sech
coth

asinh
acosh
atanh
acsch
asech
acoth

floor
round
ceil

√(-1) :: Imaginary Unit; definition of i
10^i
i^1000
i^2
i^3
√(i)
∛(i)
1/i
abs(i)
i^i
exp(i)
ln(i)
log(i)
log₂(i)
sin(i)
cos(i)
tan(i)
csc(i)
sec(i)
cot(i)
asin(i)
acos(i)
atan(i)
acsc(i)
asec(i)
acot(i)
sinh(i)
cosh(i)
tanh(i)
csch(i)
sech(i)
coth(i)
asinh(i)
acosh(i)
atanh(i)
acsch(i)
asech(i)
acoth(i)
6i :: An Imaginary Number
5√(-9) :: Another imaginary number
2√(-9)−6i :: Difference of two equal imaginary numbers
2√(-4)+3/4i :: Sum of two imaginary numbers
1/2+2/3i :: A Complex Number
(1+2i)+(-3+4i) :: Sum of Complex numbers
1+2i-3+4i :: Same as above
(1+2i)−(-3+4i) :: Difference of Complex numbers
(1+2i)(-3+4i) :: Multiplication of Complex numbers
(1+2i)÷(-3+4i) :: Division of Complex numbers
(1+2i)^(-3+4i) :: Power of a Complex number
√(1+2i) :: Square root of a Complex number
³√(1+2i) :: Cubic root of a Complex number
exp(1+2i) :: Exponential of a Complex number
ln(1+2i) :: Natural logarithm of a Complex number
abs(1+2i) :: Norm of a Complex number
1/(1+2i) :: Reciprocal of a Complex number
2∠(1.5) :: Polar (phasor) form of a Complex number (displays in standard form)
sin(1+2i) :: Sine of a Complex number
asin(1+2i) :: Inverse sine of a Complex number
sinh(1+2i) :: Hyperbolic sine of a Complex number
asinh(1+2i) :: Inverse Hyperbolic sine of a Complex number
log(-1) :: complex number!
asin(2) :: complex number!

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With this Online Complex Number Calculator you can evaluate expressions of Complex Numbers from the simplest forms such as
1+2i+4 ,
to arbitrary complicated forms such as
sin(1+2i) / ln(3+4i) + exp(i)−4∠(1.8) .