Calculate the complex expression and display the solutions in the complex plane.

Erros

New member
Joined
May 6, 2022
Messages
23
Hello everyone, I know that maybe it should be done using the sine and cosine formula for complex numbers and to determine the modulus of this expression... but I'm not sure, it's very urgent and important for me, so can someone help me how to do it and explain it... I need Calculate the expression and display the solutions in the complex plane.Screenshot_22.png

Screenshot_23.png
 
Last edited:

Steven G

Elite Member
Joined
Dec 30, 2014
Messages
13,234
What are you trying to solve??? You never stated what you wanted to do with this expression!

Do you want to know what you get if you add 7 to it or if you square it or if you divide by 12-4i or .....
 
D

Deleted member 4993

Guest
Hello everyone, I know that maybe it should be done using the sine and cosine formula for complex numbers and to determine the modulus of this expression... but I'm not sure, it's very urgent and important for me, so can someone help me how to do it and explain it...View attachment 34171

View attachment 34172
You have NOT stated:

What is the task? - "solve" does not make sense - because you do not have an "equation" containing "=" sign.
 

Erros

New member
Joined
May 6, 2022
Messages
23
What are you trying to solve??? You never stated what you wanted to do with this expression!

Do you want to know what you get if you add 7 to it or if you square it or if you divide by 12-4i or .....
Calculate the expression and display the solutions in the complex plane.
 
D

Deleted member 4993

Guest
Calculate the expression and display the solutions in the complex plane.
Are you trying to display the "given expression" as

r * [\(\displaystyle cos(\theta) + i * sin(\theta)]\)​
 

Erros

New member
Joined
May 6, 2022
Messages
23
I uploaded the wrong image sry moment.
Odakle dolaze [imath]\sqrt[6]{2}[/imath] i [imath]\frac{5\pi}{36}[/imath]? Uzimate li 6. korijen, umjesto 4. kako je navedeno u problemu? Pokažite svoj rad, a ne samo svoj odgovor.
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
11,785
Hello everyone, I know that maybe it should be done using the sine and cosine formula for complex numbers and to determine the modulus of this expression... but I'm not sure, it's very urgent and important for me, so can someone help me how to do it and explain it... I need Calculate the expression and display the solutions in the complex plane.View attachment 34171

View attachment 34172
If [imath]z=a+b\bf i[/imath] where [imath]a<0~\&~b>0[/imath] as in this case then the argument is [imath]\arg(z)=\pi+\arctan\left(\dfrac{b}{a}\right)[/imath]
Therefore here [imath]-1+\sqrt{3}{\bf{i}}=2\exp\left(\dfrac{\pi i}{3}\right)[/imath].
Thus what is [imath]\sqrt[4]{-1+\sqrt{3}{\bf{i}}}~?[/imath]
 
Top