求cos87°cos432°-sin93°cos198°的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 19:55:06
求cos87°cos432°-sin93°cos198°的值

求cos87°cos432°-sin93°cos198°的值
求cos87°cos432°-sin93°cos198°的值

求cos87°cos432°-sin93°cos198°的值
cos87°cos432°-sin93°cos198°
=cos87°cos(360°+72°)-sin(180°-87°)cos(180°+18°)
=cos87°cos72°+sin87°cos18°
=cos87°cos72°+sin87°sin72°
=cos(87°-72°)
=cos15°
=(√6+√2)/4

cos87°cos432°-sin93°cos198°
=cos(90-3)°cos(360+72)°-sin(90+3)°cos(180+18)°
=sin3°cos72°+cos3°cos18°
=sin3°cos(90-72)°+cos3°cos18°
=sin3°sin18°+cos3°cos18°
=cos(18-3)°=cos15°