化简COSa〔COSa—COSb〕加SINa〔SINa—SINb〕—1

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/20 00:34:28
化简COSa〔COSa—COSb〕加SINa〔SINa—SINb〕—1化简COSa〔COSa—COSb〕加SINa〔SINa—SINb〕—1化简COSa〔COSa—COSb〕加SINa〔SINa—SI

化简COSa〔COSa—COSb〕加SINa〔SINa—SINb〕—1
化简COSa〔COSa—COSb〕加SINa〔SINa—SINb〕—1

化简COSa〔COSa—COSb〕加SINa〔SINa—SINb〕—1
COSa(COSa-COSb)+SINa(SINa-SINb)-1
=(COSa)^2-COSa*COSb+(SINa)^2-SINa*SINb-1
=(COSa)^2+(SINa)^2-COSa*COSb-SINa*SINb-1
=1-COSa*COSb-SINa*SINb-1
=-COSa*COSb-SINa*SINb
=-(COSa*COSb+SINa*SINb)
=-COS(a-b)