Question

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

Answer 1

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

Answer 2

Yes.

Answer 3

Wait a minute. Please don't leave.

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

Wait a minute, please don't leave.

Answer 8

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

Answer 9

Because e^i*pi/2=i.

Answer 10

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

Answer 11

I forgot to say thank you.

Answer 12

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