问题
解答题
求证:cosx•cos2x•cos4x=
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答案
证明:由倍角公式sin2x=2sinxcosx,
故sin8x=2sin4xcos4x=4sin2xcos2xcos4x=8sinxcosxcos2xcos4x,
所以
.=sin8x 8sinx
=cosx•cos2x•cos4x,8sinxcosxcos2xcos4x 8sinx
故cosx•cos2x•cos4x=
.得证.sin8x 8sinx