Can someone explain this sinc function equation?

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$ \frac{A}{2}(e^{jω\frac{T}{2}}-e^{-jω\frac{T}{2}})+\frac{A}{2}sinc(\frac{ωT}{4π})(e^{jω\frac{T}{4}}-e^{-jω\frac{T}{4}})=Ajsinc(\frac{ωT}{2π})+Ajsinc^2(\frac{ωT}{4π})$

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Probably a typo. You might be looking for $sine$ instead of $sinc$. $-$ Then just use $$\sin(x)=\frac{e^{jx}-e^{-jx}}{2j}$$

--- rk