cos pi/8 cos 3*pi/8 cos 5*pi/8 cos 7*pi/8
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cos π/8 cos 3π/8 cos 5π/8 cos 7π/8
= (cos π/8 cos 7π/8) ( cos 3π/8 cos 5 π/8)
= [cos 6π/8 - cos 8π/8]/2 [ cos 2π/8 - cos 8π/8]/2
= [- 1/√2 + 1 ] [1/√2 + 1] / 4
= (1 - 1/2 ) /4
= 1/8
= (cos π/8 cos 7π/8) ( cos 3π/8 cos 5 π/8)
= [cos 6π/8 - cos 8π/8]/2 [ cos 2π/8 - cos 8π/8]/2
= [- 1/√2 + 1 ] [1/√2 + 1] / 4
= (1 - 1/2 ) /4
= 1/8
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