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[10.cos(pi)/(15)cos(2 pi)/(15)cos(3 pi)/...

[10.cos(pi)/(15)cos(2 pi)/(15)cos(3 pi)/(15)cos(4 pi)/(15)cos(5 pi)/(15)cos(6 pi)/(15)cos(7 pi)/(15)=(1)/(128)],[VERYSHORT" ANSWER OU "]

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Prove: cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)cos((6pi)/15)cos((7pi)/15) = 1/2^7

Show that cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)cos((6pi)/15)cos((7pi)/15) = 1/2^7

"cos(pi/15)cos((2pi)/15)cos((4pi)/15)cos((8pi)/15)=k

cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos"(16pi)/(15)=(1)/(16)

Show that "cos"(pi)/(15)"cos"(2pi)/(15)"cos"(3pi)/(15)"cos"(4pi)/(15)"cos"(5pi)/(15)"cos"(6pi)/(15)"cos"(7pi)/(15)=(1)/(128) .

cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos""(16pi)/(15)=(1)/(16)

cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos""(16pi)/(15)=(1)/(16)

cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos""(16pi)/(15)=(1)/(16)

cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos""(16pi)/(15)=(1)/(16)

Prove that cos(2 pi)/(15)cos(4 pi)/(15)cos(8 pi)/(15)cos(14 pi)/(15)=(1)/(16)