DLMF:4.21.E9 (Q1711)

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DLMF:4.21.E9
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    cos u - cos v = - 2 sin ( u + v 2 ) sin ( u - v 2 ) . 𝑢 𝑣 2 𝑢 𝑣 2 𝑢 𝑣 2 {\displaystyle{\displaystyle\cos u-\cos v=-2\sin\left(\frac{u+v}{2}\right)\sin% \left(\frac{u-v}{2}\right).}}
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