已知sin A+sinB +siny=0 ,cos A+cos B+cosy=0,求cos(B -y)的值.

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/13 23:11:34
已知sinA+sinB+siny=0,cosA+cosB+cosy=0,求cos(B-y)的值.已知sinA+sinB+siny=0,cosA+cosB+cosy=0,求cos(B-y)的值.已知si

已知sin A+sinB +siny=0 ,cos A+cos B+cosy=0,求cos(B -y)的值.
已知sin A+sinB +siny=0 ,cos A+cos B+cosy=0,求cos(B -y)的值.

已知sin A+sinB +siny=0 ,cos A+cos B+cosy=0,求cos(B -y)的值.
sinB+siny=-sinA① cosB+cosy=-cosA② ①+②得 (sinB+siny)+(cosB+cosy)=(-sinA)+(-cosA)=sinA+cosA=1 ∴(sinB+cosB)+(siny+cosy)+2(cosBcosy+sinBsiny)=1 即1+1+2cos(B-y)=1 ∴cos(B-y)=-1/2