FP2 transforming in the complex plane
For c I've shown that arg(w+1+2i)=pi/4 however the answer says it's 3pi/4
For d I've shown that z+2=1/w by rearranging to find z and adding on +2 however i can't seem to get arg(w)=-PI/4
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Sorted part c.
For d i get arg(1)-arg(w)=pi/4
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For d i get arg(1)-arg(w)=pi/4
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Original post by Mutleybm1996
for c factorize the -i out
split the arg
arg(-i) = -pi/2
-pi/2 + arg(w+1+2i) = pi/4
edit too late
Original post by TeeEm
for c factorize the -i out
split the arg
arg(-i) = -pi/2
-pi/2 + arg(w+1+2i) = pi/4
edit too late
split the arg
arg(-i) = -pi/2
-pi/2 + arg(w+1+2i) = pi/4
edit too late
Argh, being so stupid! I've just realised how to do d too
thanks thoughPosted from TSR Mobile
Original post by Mutleybm1996
for d
z+2 = 1/w
arg(z+2) = arg(1/w)
pi/4 = arg(1/w)
pi/4 = -arg(w)
argw = -pi/4
Original post by TeeEm
for d
z+2 = 1/w
arg(z+2) = arg(1/w)
pi/4 = arg(1/w)
pi/4 = -arg(w)
argw = -pi/4
z+2 = 1/w
arg(z+2) = arg(1/w)
pi/4 = arg(1/w)
pi/4 = -arg(w)
argw = -pi/4
Could you possibly have a look at 4c/d? My working is attached
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Original post by Mutleybm1996
I can only see (c) and I disagree (I think)
Original post by TeeEm
I can only see (c) and I disagree (I think)
Could you possibly provide a hint?
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Original post by Mutleybm1996
second line from the bottom
in the LHS i think you lost the denominator
Original post by TeeEm
second line from the bottom
in the LHS i think you lost the denominator
in the LHS i think you lost the denominator
So i now have 1=mod(iw-2w+2i)
Any advice on where to go from here?
Would i say 1=mod(i(w+2)-2w)?
Weird, the Book says the answer is mod(w-1/5 (-2+4i))=1/sqrt5
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(edited 9 years ago)
Original post by Mutleybm1996
So i now have 1=mod(iw-2w+2i)
Any advice on where to go from here?
Would i say 1=mod(i(w+2)-2w)?
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Any advice on where to go from here?
Would i say 1=mod(i(w+2)-2w)?
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it is a nasty circle
either put w=u+iv and simplify
or
factorize the coefficient of w
then pull it out of the mod
etc
harder
Original post by TeeEm
it is a nasty circle
either put w=u+iv and simplify
or
factorize the coefficient of w
then pull it out of the mod
etc
harder
either put w=u+iv and simplify
or
factorize the coefficient of w
then pull it out of the mod
etc
harder
Well now I have absolutely no idea!
Sorry...I'm probably just being useless
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(edited 9 years ago)
Original post by Mutleybm1996
it is correct so far
|A(u,v) + iB(u,v)| = 1
SRoot(A2+B2) = 1
square both sides etc
Original post by TeeEm
it is correct so far
|A(u,v) + iB(u,v)| = 1
SRoot(A2+B2) = 1
square both sides etc
|A(u,v) + iB(u,v)| = 1
SRoot(A2+B2) = 1
square both sides etc
Is this any closer?
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Original post by Mutleybm1996
your method is correct but you have made silly computational errors.
If you supply an email address and I will post the solution (2 methods)
Original post by Mutleybm1996
look at the alternative method in purple
(this approach is a bit hard for students generally)
Original post by TeeEm
look at the alternative method in purple
(this approach is a bit hard for students generally)
(this approach is a bit hard for students generally)
I understand the principle, whether I'd be able to reproduce it is another matter!
Thanks, I may post again if I get stuck on 4d
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Original post by Mutleybm1996
I understand the principle, whether I'd be able to reproduce it is another matter!
Thanks, I may post again if I get stuck on 4d
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Thanks, I may post again if I get stuck on 4d
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my pleasure
Original post by TeeEm
my pleasure
Hi, for d I managed to find and plot the two points easily enough, however don't quite understand what the 3pi/4 has to do with the problem?
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Original post by Mutleybm1996
Hi, for d I managed to find and plot the two points easily enough, however don't quite understand what the 3pi/4 has to do with the problem?
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I have not got a clue which question you are referring to ...
post the workings for this question
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