Give answer in rectangular form

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Homework Help Overview

The discussion revolves around finding the quotient and products of two complex numbers given in polar form, specifically w and u, and expressing the results in rectangular form.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the conversion of polar to rectangular form and discuss the definition of "rectangular form" in the context of complex numbers.

Discussion Status

Some participants have provided insights into the definitions of rectangular form and its equivalence to standard forms like a + bi or x + iy. There is an ongoing exploration of terminology and its implications in the context of complex numbers.

Contextual Notes

There is mention of potential confusion regarding the terminology used by the teacher, as well as variations in notation (i vs. j) among different fields, which may affect understanding.

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Homework Statement


Find the quotient w*u, w/u, w^2
w=3(cos30 degrees + isin 30 degrees)
u=2(cos 60 degs + isin 60 degs)
Give answer in rectangular form..

The Attempt at a Solution


I can convert polar to rectangular and back.. but trig to rectangular? Eh?

I got w*u=6i... I think that would be considered "standard form a + bi" but teacher ?typo? wrote "rectangular form"..
 
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Rectangular form means express z in the form z=x+iy. Clearly, wu=6i is in rectangular form!
 
I'm researching about "rectangular form" and I'm finding it to be a+jb. But no worries, I looked up my teacher's key to the review guide, rectangular form is also a+bi or x+iy or something and who cares so case closed:)
 
"a and b" and "x and y" are just numbers, so there's no difference there. Some people (engineers?) take the square root of -1 to be j instead of i. They are both correct.
 

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