SOLUTION: Using Euler's formula of ea + bi = ea(cos b + i sin b), derive the arisen equation of eπi + 1 = 0

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Question 1073007: Using Euler's formula of ea + bi = ea(cos b + i sin b), derive the arisen equation of eπi + 1 = 0
Answer by MaxWong(38) About Me  (Show Source):
You can put this solution on YOUR website!
e^(a+bi) = e^a(cos b + i sin b)
Therefore e^(pi*i) = cos pi + i sin pi = -1 + 0i = -1.
e^πi + 1 = 0
e^πi = -1
The results match :D