![[Graphics:Images/ComplexGeometryContinuedMod_gr_198.gif]](../Images/ComplexGeometryContinuedMod_gr_198.gif){kind=small}
, then ![[Graphics:Images/ComplexGeometryContinuedMod_gr_199.gif]](../Images/ComplexGeometryContinuedMod_gr_199.gif){kind=small}
and ![[Graphics:Images/ComplexGeometryContinuedMod_gr_200.gif]](../Images/ComplexGeometryContinuedMod_gr_200.gif){kind=small}
. Therefore ![[Graphics:Images/ComplexGeometryContinuedMod_gr_201.gif]](../Images/ComplexGeometryContinuedMod_gr_201.gif)
the modulus is
![[Graphics:Images/ComplexGeometryContinuedMod_gr_202.gif]](../Images/ComplexGeometryContinuedMod_gr_202.gif){kind=small}
, and
the argument is ![[Graphics:Images/ComplexGeometryContinuedMod_gr_203.gif]](../Images/ComplexGeometryContinuedMod_gr_203.gif){kind=small}
.Example
1.13. If , then and . Therefore
the modulus is , and
the argument is .
Explore Solution 1.13.
Enter ![[Graphics:../Images/ComplexGeometryContinuedMod_gr_204.gif]](../Images/ComplexGeometryContinuedMod_gr_204.gif){kind=small}
and
compute ![[Graphics:../Images/ComplexGeometryContinuedMod_gr_205.gif]](../Images/ComplexGeometryContinuedMod_gr_205.gif){kind=small}
.
![[Graphics:../Images/ComplexGeometryContinuedMod_gr_206.gif]](../Images/ComplexGeometryContinuedMod_gr_206.gif)
![[Graphics:../Images/ComplexGeometryContinuedMod_gr_207.gif]](../Images/ComplexGeometryContinuedMod_gr_207.gif)
![[Graphics:../Images/ComplexGeometryContinuedMod_gr_208.gif]](../Images/ComplexGeometryContinuedMod_gr_208.gif)
![[Graphics:../Images/ComplexGeometryContinuedMod_gr_209.gif]](../Images/ComplexGeometryContinuedMod_gr_209.gif)
![[Graphics:../Images/ComplexGeometryContinuedMod_gr_210.gif]](../Images/ComplexGeometryContinuedMod_gr_210.gif)
(c) 2006 John H. Mathews, Russell W. Howell