Question

pls comment the graph plot of e^ix*pi/2

Answer 1

put it this way:
cos(xpi/2)+isin(xpi/2)

Answer 2

\[\Large e^{ix\ \pi/2}\]

Answer 3

what would you then say about the real and imaginary plot of the function ?

Answer 4

it's just a plot of sinx and cosx

Answer 5

anything else ?

Answer 6

it's a circle

Answer 7

how so ?

Answer 8

awesome , i see.So, you're saying it completes one revolution ?

Answer 9

for every x=k4 for k=1,2,...n

Answer 10

you had metioned something earlier about it's periodicity ?

Answer 11

period 4

Answer 12

since cos(xpi/2)=cos(4k*xpi/2)
same for sin

Answer 13

hmm..nicely said

Answer 14

is there anything else ?

Answer 15

here is what i would do