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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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1.39 The representation of cosines and sines of multiples of the angle as finite Products

1.391

1. 

sinnx=nsinxcosxΠk=1n22(1sin2xsin2kπn)[nis even]

si214_e  JO (568)

2. 

cosnx=Πk=1n2(1sin2xsin2(2k1)π2n)[nis even]

si215_e  JO (569)

3. 

sinnx=nsinxΠk=1n12(1sin2xsin2kπn)[nis odd]

si216_e  JO (570)

4. 

cosnx=cosxΠk=1n12(1sin2xsin2(2k1)π2n)[nis?odd]

si217_e  JO (571)a ...

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