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### Prove $e^{i \pi} = -1$ [duplicate]

Possible Duplicate: How to prove Euler's formula: $\exp(i t)=\cos(t)+i\sin(t)$ ? I recently heard that $e^{i \pi} = -1$. WolframAlpha confirmed this for me, however, I don't see how ...
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### Intuition behind euler's formula [duplicate]

Possible Duplicate: How to prove Euler's formula: $\\exp(i t)=\\cos(t)+i\\sin(t)$ ? Hi, I've been curious for quite a long time whether it is actually possible to have an intuitive ...
### Coloring of an $1\times n$ board using 4 colors?
How can I find the number of ways to color an $1\times n$ board using the colors red, blue, green and orange if: # of red squares is even # of green squares is even We did the tilings of a \$1\times ...