ctan(1/3)+arctan(1/2)+acrtan1的值
熱心網(wǎng)友
因?yàn)?1/2+1/3)/(1-1/2×1/3)=1,設(shè)arctan1/2=x,arctan1/3=y,則(tanx+tany)/(1-tanxtany)=1,所以tan(x+y)=1,即x+y=45所以arctan1/2+arctan1/3=45度=arctan1,所以原式=2arctan1=2×45=90度
ctan(1/3)+arctan(1/2)+acrtan1的值
因?yàn)?1/2+1/3)/(1-1/2×1/3)=1,設(shè)arctan1/2=x,arctan1/3=y,則(tanx+tany)/(1-tanxtany)=1,所以tan(x+y)=1,即x+y=45所以arctan1/2+arctan1/3=45度=arctan1,所以原式=2arctan1=2×45=90度