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# Complex Number, Euler’s Formula, Rectangular Form

TRIG-UN9BMU

What is $5{e^{i\frac{\pi }{4}}}$ written as a complex number in standard rectangular form?

A

$\cfrac{5}{2} + i\cfrac{{5\sqrt 3 }}{2}$

B

$\cfrac{{5\sqrt 2 }}{2} + i\cfrac{{5\sqrt 2 }}{2}$

C

$\cfrac{{5\sqrt 3 }}{2} + i\cfrac{5}{2}$

D

$-\cfrac{{5\sqrt 2 }}{2} - i\cfrac{{5\sqrt 2 }}{2}$