Tim T. answered • 03/23/19
Tutor
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Math: K-12th grade to Advanced Calc, Ring Theory, Cryptography
Well, ei(theta) = cos(theta) + isin(theta) is a circle on the complex plane. Since it is only isinx, then
cosx = 0... What x values on the Unit Circle are cosine equal to 0? Answer: pi/2 and 3pi/2. So the complex number way of writing this would be 0+isin(x). If we use the values that made cosine 0 for sine, we would get
0 + isin(pi/2) and 0 + isin(3pi/2).... Then we have
0 + i and 0 - i.
Thus, you would graph the two points a+bi and a-bi as (0,1) and (0,-1).
Hope this helps!
