Imaginary to trig notation
Convert (1-i)(2+2i) to trig notation and then multiply
I get:
}*{\sqrt{8}{(cos45+isin4 5)}})
})

Book answer is:
My first part is wrong, why???
Also I have a general question other than this current problem. Why are the angles always the same in each point?
Re: Imaginary to trig notation
You're nearly right. The answer is 4i.
Re: Imaginary to trig notation
Quote:
Originally Posted by
Greymalkin
You textbook is mistaken.
Re: Imaginary to trig notation
Quote:
Originally Posted by
a tutor
You're nearly right. The answer is 4i.
It appears I was overhasty in posting this because I've mixed up the answers from the text, the actual answer says 4, why would you say it is 4i? isnt i*0=0?
Re: Imaginary to trig notation
Quote:
Originally Posted by
Greymalkin
It appears I was overhasty in posting this because I've mixed up the answers from the text, the actual answer says 4, why would you say it is 4i? isnt i*0=0?
Because before you edited it the answer was 4i. :p
Re: Imaginary to trig notation
It also appears that my brain isnt into math on fridays :)
Re: Imaginary to trig notation
Hmm, I do not know what you edited, but the answer should be 4i.
You seem to have deduced an angle of 315 degrees for (1+i).
But that angle should be 45 degrees.
It seems you had that before, but then you also got 4, which is still wrong - it really should be 4i.
Note that
.
Re: Imaginary to trig notation
Quote:
Originally Posted by
ILikeSerena
Hmm, I do not know what you edited, but the answer should be 4i.
You seem to have deduced an angle of 315 degrees for (1+i).
But that angle should be 45 degrees.
It seems you had that before, but then you also got 4, which is still wrong - it really should be 4i.
Note that

.
Sorry, the real question is (1-i)(2+2i). Although my question was answered my editing was not finished, apologies.