3cos(2A+B)+5cosB=0 则tan(A+B)tanA的值为多少

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/13 21:14:29
3cos(2A+B)+5cosB=0 则tan(A+B)tanA的值为多少
x)3N/0rv62l v,IiZ6yc%nhTO.;jFi;Ƃ% <]Xh>v-΄AQ$Q$!-P!(0Sⶺ&Ț0i|T`_\g q

3cos(2A+B)+5cosB=0 则tan(A+B)tanA的值为多少
3cos(2A+B)+5cosB=0 则tan(A+B)tanA的值为多少

3cos(2A+B)+5cosB=0 则tan(A+B)tanA的值为多少
3cos(2A+B)+5cosB
=3cos[(A+B)+A]+5cos[(A+B)-A]
=3[cos(A+B)cosA-sin(A+B)sinA]+5[cos(A+B)cosA+sin(A+B)sinA]
=8cos(A+B)cosA+2sin(A+B)sinA
=0
sin(A+B)sinA=-4cos(A+B)cosA
tan(A+B)*tanA=-4