Cos(π+α)+6cos(-α)/sin(2π-α)+4sin(二分之π-α)+4sin(二分之π+α)=5

问题描述:

Cos(π+α)+6cos(-α)/sin(2π-α)+4sin(二分之π-α)+4sin(二分之π+α)=5
计算(1)tanα (2)sin2α

(1)原式=-cosa-6cosa/-sina+4cosa+4cosa=-7cosa/-sina+8cosa=5,-7cosa=-5sina+40cosa,5sina=47cosa,所以tana=47/5;(2)因为tana=sina/cosa=47/5,且sina方+cosa方=1,解得sina和cosa即可.