What does the least principal argument mean? (1 Viewer)

[Run hard@thehsc]

Pls help

 

[CM_Tutor]

A complex number has only one principal argument, which is the argument satisfying

 

[Run hard@thehsc]

When referring to the roots of complex number, does the least principal argument refer to the root with the smallest argument? @CM_Tutor

 

[5uckerberg]

That is what is the case because when you have the term principle argument what it means is that we are only focusing on one cycle and everything else is just a duplicate so in this case, we are focusing on . Reminds me of improper fractions. Anything greater than 1 or -1 in fraction form is an improper fraction.

 

[Run hard@thehsc]

Oh ok @5uckerberg I kinda get it. Is it possible to give me an example? Thanks!

 

[5uckerberg]

Oh ok @5uckerberg I kinda get it. Is it possible to give me an example? Thanks!

In complex numbers you have but with the principal argument anything greater than is just a repeat so for the principal argument it becomes . A very helpful technique when they ask for the principal argument is to think of the school principal and as such you follow their rules which means no duplicates.

 

[Run hard@thehsc]

@5uckerberg That makes total sense now - thank you!