8sin(π/32)cos(π/32)cos(π/16)cos(π/8),求值

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8sin(π/32)cos(π/32)cos(π/16)cos(π/8),求值
8sin(π/32)cos(π/32)cos(π/16)cos(π/8),求值

8sin(π/32)cos(π/32)cos(π/16)cos(π/8),求值
运用公式sin2α=2sinαcosα
8sin(π/32)cos(π/32)cos(π/16)cos(π/8)
=4×2sin(π/32)cos(π/32)cos(π/16)cos(π/8)
=4×sin(π/16)cos(π/16)cos(π/8)
=2×2sin(π/16)cos(π/16)cos(π/8)
=2sin(π/8)cos(π/8)
=sin(π/4)
=√2/2

8sin(π/32)cos(π/32)cos(π/16)cos(π/8),
=4sinπ/16cos(π/16)cos(π/8),
=2sin(π/8)cos(π/8)
=sin(π/4)
=√2/2