Hunkybm
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if e^(pi x i)= -1, does that mean e^(pi/2 x i)= 0?? please help!
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physicsmaths
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nope e^(pi/2 i)=i


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rayquaza17
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e^{\frac{i \pi }{2}}=cos(\frac{\pi }{2})+isin(\frac{\pi }{2})=0+i=i
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WhiteGroupMaths
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The magnitude of the complex number in question is simply 1 unit as measured from the origin, and its argument is pi/2 radians. Where would this land you on the Argand diagram? Hardly the origin won't you say?

Peace.
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Ilovemaths96
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(Original post by Hunkybm)
if e^(pi x i)= -1, does that mean e^(pi/2 x i)= 0?? please help!
general form is re^(i theta), where r is magnitude and theta is angle from initial line, so you can easily work it out from there
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physicsmaths
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(Original post by Ilovemaths96)
general form is re^(i theta), where r is magnitude and theta is angle from initial line, so you can easily work it out from there
isit?? ive proven it and never come across it!!.
Thanks alot though mate.


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davros
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(Original post by Hunkybm)
if e^(pi x i)= -1, does that mean e^(pi/2 x i)= 0?? please help!
Why do you think that your second expression is 0? e^x is never 0 for any finite value of x.
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Mr M
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(Original post by davros)
Why do you think that your second expression is 0? e^x is never 0 for any finite value of x.
I was wondering if they were talking about the real part. We will probably never know.
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TurboCretin
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Euler's Identity would be a great film title.
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Mr M
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(Original post by TurboCretin)
Euler's Identity would be a great film title.
Bourne got there first.
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Ilovemaths96
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(Original post by physicsmaths)
isit?? ive proven it and never come across it!!.
Thanks alot though mate.


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i may have confused, i should have said one of the ways to represent a complex number is in exponential form
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physicsmaths
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another way to look at it is sin(x)=cos(x)=0 is never true


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physicsmaths
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(Original post by Ilovemaths96)
i may have confused, i should have said one of the ways to represent a complex number is in exponential form
oh kool was shocked and excited by what you said earlier.


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Ilovemaths96
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(Original post by physicsmaths)
oh kool was shocked and excited by what you said earlier.


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in what way? did I say something incorrect?
What I was trying to say was you could draw an argand diagram and work it out graphically.
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physicsmaths
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(Original post by Ilovemaths96)
in what way? did I say something incorrect?
What I was trying to say was you could draw an argand diagram and work it out graphically.
can you rephrase what you said earlier please.


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Ilovemaths96
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(Original post by physicsmaths)
can you rephrase what you said earlier please.


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lol so much confusion caused.
re^(i theta) is the exponential form of a complex number where
r -magnitude/modulus
theta - angle from positive x axis or in this case positive real axis
Draw the complex number on argand diagram
The one asked by thread starter would be a line of length 1 unit and would lie on positive real axis
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physicsmaths
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(Original post by Ilovemaths96)
lol so much confusion caused.
re^(i theta) is the exponential form of a complex number where
r -magnitude/modulus
theta - angle from positive x axis or in this case positive real axis
Draw the complex number on argand diagram
The one asked by thread starter would be a line of length 1 unit and would lie on positive real axis
oh yh sorry sbout that i was reading sonethin else


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Ilovemaths96
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(Original post by physicsmaths)
oh yh sorry sbout that i was reading sonethin else


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haha ok
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