Question

Graph Z=3cos315+3isin315 explain where you would find this equation on a complex plane

Answer 1

cos 315° = 45° reference angle in the 4th quadrant = √2 /2

And sin 315° is the negative of this

So

z = (3) cos 315° + ( 3i ) sin 315° =

[ (3/2)√2 , - (3/2) √2 i ]