cos(A-B)=-4/5,cos(A+B)=4/5,90度<A-B<180度,270度<A+B<360度求cos2A,cos2B的值
热心网友
sin(A-B)=3/5 ,sin(A+B)=-3/5cos2A=cos[(A-B)+(A+B)]=cos(A-B)*cos(A+B)-sin(A-B)*sin(A+B)=-16/25+9/25=-7/25同理可得cos2B=cos[(A+B)-(A-B)]=-1
cos(A-B)=-4/5,cos(A+B)=4/5,90度<A-B<180度,270度<A+B<360度求cos2A,cos2B的值
sin(A-B)=3/5 ,sin(A+B)=-3/5cos2A=cos[(A-B)+(A+B)]=cos(A-B)*cos(A+B)-sin(A-B)*sin(A+B)=-16/25+9/25=-7/25同理可得cos2B=cos[(A+B)-(A-B)]=-1