若cot(∏/2+α)=-3,则4sinα-cosα/(5cosα+3sinα)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/04 21:14:58
若cot(∏/2+α)=-3,则4sinα-cosα/(5cosα+3sinα)=?
x){ѽ49DQG:O;fgۨ_|n)6 j$铩SΆ[ul<Xn\ d35 0k5k9p)-c1TPF 1! n

若cot(∏/2+α)=-3,则4sinα-cosα/(5cosα+3sinα)=?
若cot(∏/2+α)=-3,则4sinα-cosα/(5cosα+3sinα)=?

若cot(∏/2+α)=-3,则4sinα-cosα/(5cosα+3sinα)=?
∵cot(π/2+α)=-tanα=-3
∴tanα=3
∴(4sinα-cosα)/(5cosα+3sinα)
=(4tanα-1)/(5+3tanα)
=(4*3-1)/(5+3*3)
=11/14