化简:cos4x-2sinxcosx-sin4x
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 06:17:47
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化简:cos4x-2sinxcosx-sin4x
化简:cos4x-2sinxcosx-sin4x
化简:cos4x-2sinxcosx-sin4x
f(x)=(cos²x+sin²x)(cos²x-sin²x)-2sinxcosx
=1×cos2x-sin2x
=√2(cos2x×√2/2-sin2x×√2/2)
=√2(cos2xcosπ/4-sin2xsinπ/4)
=√2cos(2x+π/4)