How can you use trigonometric functions to simplify $2 e^( ( 5 pi)/4 i )$ into a non-exponential complex number?

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Answer 1 · 2016-01-23T08:51:05

It is

$2 e^((5 pi)/4i) =2 (cos(5pi/4)+isin(5*pi/4))= 2*(-1/(sqrt2)-1/sqrt2*i)=-sqrt2*(1+i)$

How can you use trigonometric functions to simplify 2 e^( ( 5 pi)/4 i ) 2 e^( ( 5 pi)/4 i ) into a non-exponential complex number?