User DavisLiu2

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1) $\cos(x)+i\sin(x) = e^{ix}$ $\cos (x) + i \sin (x) = e^{i x}$

2) $\cos(x)-i\sin(x) = e^{-ix}$ $\cos (x) - i \sin (x) = e^{- i x}$

$2\cos(x) = e^{ix}+e^{-ix}$ $2 \cos (x) = e^{i x} + e^{- i x}$ , $\cos(x) = \frac{e^{ix}+e^{-ix}}{2}$ $\cos (x) = \frac{e^{i x} + e^{- i x}}{2}$

$2i\sin(x) = e^{ix}-e^{-ix}$ $2 i \sin (x) = e^{i x} - e^{- i x}$ , $\sin(x) = \frac{e^{ix}-e^{-ix}}{2i}$ $\sin (x) = \frac{e^{i x} - e^{- i x}}{2 i}$

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