Question: This question is about proving Euler's formula cos(0) + i sin(0) = 0 (a) Take the derivative of f(0) = (cos(0) + i sin(0))ei

This question is about proving Euler's formula cos(0) + i sin(0) = 0 (a) Take the derivative of f(0) = (cos(0) + i sin(0))ei with respect to 0. (b) Explain why the result of the previous step means that f(0) is constant. (c) Evaluate f at 0 = 0 to find this constant from the previous step. (d) Rearrange to get Euler's formula.

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