Use Euler's formula to write the given expression e^2-(pi/2)i in the form a+ib.

Question

loser66 · Answer

is it $$\huge e^{2-\frac{\pi}{2}i}$$

anonymous · Answer

Yes.

anonymous · Answer

Wait a minute. Please don't leave.

hartnn · Answer

strange question indeed, but if its that, then i'll do 
$\dfrac{e^2}{e^{i \pi/2}}$
and find e^(i pi/2) first

hartnn · Answer

do u know how to get e^(i pi/2) ??

hartnn · Answer

use same formula as i gave in last question, 
$e^{i \theta}=\cos \theta+i\sin \theta$

anonymous · Answer

Wait a minute, please don't leave.

anonymous · Answer

So I got e^2/i, now what?

anonymous · Answer

Because e^i*pi/2=i.

hartnn · Answer

that could be the answer but the denominator is not real,
to rationalize the denominator, you can multiply and divide by 'i' 
and use the fact that i^2=-1 in the denominator

anonymous · Answer

I forgot to say thank you.

hartnn · Answer

no problem :) i'll forget to say welcome :P