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

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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

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) ...

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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

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