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Math Help - Complex Analysis - Proof Question

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    Complex Analysis - Proof Question

    Show that sin(z+w) = sinz.cosw + cosz.sinw for all z, w that are complex numbers.
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    Quote Originally Posted by essedra View Post
    Show that sin(z+w) = sinz.cosw + cosz.sinw for all z, w that are complex numbers.
    Surely you know that:
    \sin(z)=\frac{1}{2i}\left(e^{iz}-e^{-iz}\right) & ~\cos(w)=\frac{1}{2}\left(e^{iw}+e^{-iw}\right).
    Now go for it!
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