\(e^{ix}=cos x+i sinx\)
1. \(e^{i\pi}= cos \pi + i sin \pi\)
\(e^{i\pi}= -1 + i . 0\)
\(e^{i\pi}= -1 \)
\(e^{i\pi}+1=0\)
2. \(r=\sqrt{3^2+4^2}=5\)
\(x=tan^{-1}(\dfrac{4}{3}) = 0.927\)
\(3+4i = 5 e^{0.927i}\)
3. \(e^z=e^{x+iy}=e^{x}(cos y +i siny)\)
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