The famous formula shown below is called Euler's formula, after the Swiss mathematician Leonhard Euler (1707-1783).

e^a + bi = e^a(cos b + i sin b)

This formula gives rise to the equation ei + 1 = 0. This equation related the five most famous numbers in mathematics--0, 1, , e, and i-- in a single equation. Show how Euler's formula can be used to derive this equation. Write a short paragraph summarizing your work.