agrument of z is the angle theta such that cos theta= x/z modulus and sin theta = y / z modulus. and it is only defined up to the addition of muliples of 2 pie.

can u exaplin this statement

"it is only defined up to the addition of muliples of 2 pie."

One last question.

express the following complex number in polar form

i

now r =1

cos inverse= 0/2=90 * pie/180= pie /2

sin inverse = 1/2= 30 *pie/180 =pie/6

now answer is e ^ (ipie / 2)

Question is why do we take theta value of pie/2 and not pie/6. i have done other questions as well. some time we take theta value which we get thrrough sin and some times the one we get through coz.WHY IS THAT ...PLZ HELP