已知2cos(2x+y)=cosy,求tan(x+y)tany的值

问题描述:

已知2cos(2x+y)=cosy,求tan(x+y)tany的值

题目有没有问题呢?怎么觉得应该是求tan(x+y)tanx呢?∵2cos(2x+y)=cosy∴2cos(x+x+y)=cos(x+y-x)∴2cosxcos(x+y)-2sinxsin(x+y)=cos(x+y)cosx+sin(x+y)sinx.移项得cosxcos(x+y)=3sinxsin(x...