Example 1.14.  Given  [Graphics:Images/ComplexGeometryContinuedMod_gr_211.gif],  compute  [Graphics:Images/ComplexGeometryContinuedMod_gr_212.gif]  using polar computations.

If  [Graphics:Images/ComplexGeometryContinuedMod_gr_213.gif]  and  [Graphics:Images/ComplexGeometryContinuedMod_gr_214.gif],  then representative polar forms for these numbers are  [Graphics:Images/ComplexGeometryContinuedMod_gr_215.gif]  and  [Graphics:Images/ComplexGeometryContinuedMod_gr_216.gif].  Hence  

            [Graphics:Images/ComplexGeometryContinuedMod_gr_217.gif]    

the modulus is  [Graphics:Images/ComplexGeometryContinuedMod_gr_218.gif],  and the argument is [Graphics:Images/ComplexGeometryContinuedMod_gr_219.gif].

Explore Solution 1.14.

Enter  [Graphics:../Images/ComplexGeometryContinuedMod_gr_220.gif]   and compute [Graphics:../Images/ComplexGeometryContinuedMod_gr_221.gif].  

[Graphics:../Images/ComplexGeometryContinuedMod_gr_222.gif]

[Graphics:../Images/ComplexGeometryContinuedMod_gr_223.gif]

 

 

 

 

[Graphics:../Images/ComplexGeometryContinuedMod_gr_224.gif]

[Graphics:../Images/ComplexGeometryContinuedMod_gr_225.gif]

[Graphics:../Images/ComplexGeometryContinuedMod_gr_226.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell