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3sin(兀+α)+cos(-α)/4sin(-α)-cos(9兀+α)=2,则tanα=

题目详情
3sin(兀+α)+cos(-α)/4sin(-α)-cos(9兀+α)=2,则tanα=
▼优质解答
答案和解析
3sin(π+α)+cos(-α)/4sin(-α)-cos(9π+α)=2,
【-3sinα+cosα】/【-4sinα+cosα】=2,
-3sinα+cosα=-8sinα+2cosα
5sinα=cosα
tan α=sinα/cosα=1/5