+12 If I have e^{4pi*i/3} - e^{5pi*i/6}, how would I solve that? Like how do I subtract? I'm only used to head to tail addition
We can simplify this expression using the properties of complex exponential functions:
e^(4πi/3) - e^(5πi/6) = cos(4π/3) + i sin(4π/3) - cos(5π/6) - i sin(5π/6)
= (-1/2) + (sqrt(3)/2)i - (sqrt(3)/2) - (1/2)i
= -1 - (sqrt(3)/2)i
Therefore, e^(4πi/3) - e^(5πi/6) simplifies to -1 - (sqrt(3)/2)i.
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