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1F推:S/2吧03/26 11:33
1F推:先聲明,這種題目指考/學測應該不考了(吧)02/02 11:35
2F→:兩邊通分為sin 2x*sin 3x=sin x*sin 3x+sin x*sin 2x02/02 11:36
3F→:積化和差為cos x-cos 5x=cos 2x-cos 4x+cos x-cos 3x02/02 11:38
4F→:移項得cos 5x-cos 3x=cos 4x-cos 2x02/02 11:39
5F→:和差化積得six 4x*sin x=six 3x*sin x02/02 11:40
6F→:由題目知sin x不可為0,故sin 4x-sin 3x=002/02 11:41
7F→:和差化積得cos (7*x/2) * sin (x/2)=002/02 11:43
8F→:由題目知sin (x/2)不可為0,故cos (7*x/2)=002/02 11:44
9F→:故7*x/2=+-pi/2 or +-pi*3/2 or +-pi*5/202/02 11:46
5F推:用積化和差/和差化積解好像比較快,pi/7 & 3*pi/702/01 21:37
6F推:更正,+-pi/7 , +-3*pi/702/01 21:42
11F推:對,我少寫+-5*pi/702/02 06:53