Argument of complex number calculator

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Home > Calculus calculators > Argument / Arg / Angle / Phase of complex number calculator

Definition and examples

Complex Number Operation

Argument of complex number

Arg of complex number calculator
Angle of complex number calculator
Phase of complex number calculator

Complex A :		Complex B :		Complex C :
	,		,

Find :

Mode =

Decimal Place =

SolutionHelp

Argument of complex number calculator

1.

(5+6i),(-2+3i),(1-3i) $(5+6i), (-2+3i),(1-3i)$

2.

(3-2i),(4+3i),(2-5i) $(3-2i), (4+3i),(2-5i)$

Example

1. A=-1-i,B=-2+3i,C=1-3i $A=-1-i,B=-2+3i,C=1-3i$
Find arg(A)

Solution:
Here

A=-1-i,B=-2+3i,C=1-3i $A=-1-i,B=-2+3i,C=1-3i$

For a complex number

z=a+bi $z=a+bi$ , The argument is

θ=atan(ba) $theta=atan(b/a)$

Here,

a=-1 $a=-1$ and

b=-1 $b=-1$

θ=atan(ba)+180 $theta=atan(b/a)+180$ (Since

a<0 $a<0$ )

∴θ=atan(-1-1)+180 $:. theta=atan((-1)/(-1))+180$

∴θ=atan(1)+180 $:. theta=atan(1)+180$

∴θ=45+180 $:. theta=45+180$

∴θ=225∘ $:. theta=225 ^circ$ or

θ=5π4 $theta=(5pi)/(4)$ rad = 3.927 rad