sin(a+30度)=1/3,则cos(2a-120度)的值是___________.

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/30 05:01:05
sin(a+30度)=1/3,则cos(2a-120度)的值是___________.
x)+H66xkӎFF`Z6y6c}<$铭WΆ24mumC mȎ65Ygkkoi_\gu l]qF q0S 5; *2΀KiiikodG;NzI@l |قpcmaZ6SvʳOxi{!zlޜ';vg v>]bƧ

sin(a+30度)=1/3,则cos(2a-120度)的值是___________.
sin(a+30度)=1/3,则cos(2a-120度)的值是___________.

sin(a+30度)=1/3,则cos(2a-120度)的值是___________.
cos(2a-120)=-cos(2a-120+180)=-cos(2a+60)=-cos2(a+30)=-[1-2[sin(a+30)]^2]=-7/9

cos(2a-120)=cos2(a-60)=2cos(a-60)*cos(a-60)-1
=2cos(a+30)cos(a+30)-1
=2*(1-1/3)=4/3不对啊!角度都不一样cos(a-60)=cos(a+30-90)=-cos(a+30) 原答案忘了减1了,,结果为1/3.....根据诱导公式:cos(a-60)=cos(a+30-90)=sin(a+30) ...

全部展开

cos(2a-120)=cos2(a-60)=2cos(a-60)*cos(a-60)-1
=2cos(a+30)cos(a+30)-1
=2*(1-1/3)=4/3

收起