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cos(2x+y)=3cosy,求tanx*tan(x+y)
人气:363 ℃ 时间:2020-02-05 11:09:58
解答
cos(2x+y)=3cosy
cos(x+y+x)=3cos(x+y-x)
cos(x+y)cosx-sin(x+y)sinx=3[cos(x+y)cosx+sin(x+y)sinx]
2cos(x+y)cosx=-4sin(x+y)sinx
[sin(x+y)sinx]/[cos(x+y)cosx]=-1/2
tanx*tan(x+y)=-1/2
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