Newbie here with question on Complex components

In summary, the equation is expanded using the distributive property and then the real and imaginary terms are separated to get the final answer.
  • #1
THAGONZ
2
0
Hello all,

I am new here and very new to trig. I can't seem to figure out how this equation works out. I was wondering if someone could help me out with the long equation to get this answer. I know this is probably very simple to most of you but I am really stuck here...

Thanks in advance!(cos-isin)*(cos-isin)

(0.00179-i0.00358)*(0.29-i0.957) = -0.003-i0.003
 
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  • #2
hi! (Wave) welcome to mhb. like your username.

was that all you were given in the question?
 
  • #3
ineedhelpnow said:
hi! (Wave) welcome to mhb. like your username.

was that all you were given in the question?

Hi, Thank you for the reply..

It is actually a much longer equation...

$0.004[cos(-63.4^{\circ})+isin(-63.4^{\circ})]$=0.00179-i0.00358

then using Discrete Fourier Transform you get
$e-i2pi(29.84*10^6)*(1/5.12*10^6)*-7$= 0.29 – i0.957

so now I am trying to figure out how $(0.00179-i0.00358)*(0.29-i0.957)$ = -0.003-i0.003
 
Last edited:
  • #4
but a dollar sign at the beginning of your equations and at the end. I am having some trouble reading it.
 
  • #5
THAGONZ said:
so now I am trying to figure out how $(0.00179-i0.00358)*(0.29-i0.957)$ = -0.003-i0.003
Multiply out the brackets in the usual way (remembering that $i^2=-1$) and then collect the real and imaginary terms together. That gives $$(0.00179-i0.00358)*(0.29-i0.957) = 0.00179*0.29 + 0.00358*0.957 -i0.00179*0.957 - i0.00358*0.29.$$
 

FAQ: Newbie here with question on Complex components

What are complex components?

Complex components refer to parts or systems that are composed of multiple interconnected elements or subsystems. They are often characterized by their intricate design and functionality, and are commonly used in fields such as engineering, biology, and computer science.

How are complex components different from simple components?

Simple components are usually composed of only one or a few elements, while complex components involve a larger number of interconnected elements. Additionally, simple components often have straightforward functions, while complex components may have more sophisticated or specialized functions.

What are some examples of complex components?

Some examples of complex components include electronic circuits, biological systems such as cells and organs, and computer programs and algorithms. Other examples include mechanical systems such as engines and robots, and social systems such as economic markets and ecosystems.

What is the importance of studying complex components?

Studying complex components allows us to understand and analyze the behavior and functionality of complex systems. This knowledge can be applied in various fields to develop new technologies, improve existing systems, and solve complex problems.

How can one approach studying complex components?

One approach to studying complex components is through systems thinking, which involves understanding how different elements interact and influence each other within a system. This can be done through experimentation, modeling, and analysis, as well as collaboration with experts from different fields.

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