Question

1.已知α是第三象限角,且tanα=3/4,则sinα/1-cotα + cosα/1-tanα等于 ( )

Answer 1

1.已知α是第三象限角,且tanα=3/4,则sinα/(1-cotα) + cosα/(1-tanα)等于 ( )

A.7/5 B.7/4 C.-7/5 D.-7/4

∵α是第三象限角,且tanα=3/4,∴cotα=4/3,sinα=-3/5,cosα=-4/5

∴sinα/(1-cotα)+cosα/(1-tanα)=(-3/5)/(1-4/3)+(-4/5)/(1-3/4)=9/5-16/5=-7/5

故选C.