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已知3sinx=sin(2y+x),求证tan(x+y)=2tany
x不等于2k派+派/2,x+y不等于k派+派/2
人气:469 ℃ 时间:2020-04-07 02:27:04
解答
3sinx=sin(2y+x)3sin(x+y-y)=sin(y+x+y)3[sin(x+y)cosy-cos(x+y)siny]=sin(x+y)cosy+cos(x+y)sinysin(x+y)cosy=2cos(x+y)sinysin(x+y)/cos(x+y)=2siny/cosytan(x+y)=2tany
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