已知3sin(π+α)+cos(-α)4sin(-α)-cos(9π+α)=2,则tanα=______.-数学

题目简介

已知3sin(π+α)+cos(-α)4sin(-α)-cos(9π+α)=2,则tanα=______.-数学

题目详情

已知
3sin(π+α)+cos(-α)
4sin(-α)-cos(9π+α)
=2
,则tanα=______.
题型:填空题难度:偏易来源:不详

答案

3sin(π+α)+cos(-α)
4sin(-α)-cos(9π+α)
=class="stub"-3sinα+cosα
-4sinα+cosα
=2
,∴-3sinα+cosα=2(-4sinα+cosα),
∴5sinα=cosα,∴tanα=class="stub"sinα
cosα
=class="stub"1
5

故答案为:class="stub"1
5

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