How do you write the following complex number in rectangular form?

Question

#5(cos((5pi)/4)+isin((5pi)/4))#

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Answer 1 · 2018-05-21T00:47:16

#(-5sqrt2)/2-(5sqrt2)/2i#

#5(cos((5pi)/4)+isin((5pi)/4))#

Distribute:
#5*cos((5pi)/4)+5*isin((5pi)/4)#

Recall unit circle coordinates:
#5*-sqrt2/2+5*-sqrt2/2i=#

#(-5sqrt2)/2-(5sqrt2)/2i#