高一数学三角函数,紧急啊!!

来源:百度知道 编辑:UC知道 时间:2024/06/04 06:16:11
已知tanα=-2,且π/2<α<π
(1)求sin(π+π/6)的值
(2)求(sin2α+sin^2α)/(1-cos2α)的值
已知tanα=-2,且π/2<α<π
(1)求sin(α+π/6)的值
(2)求(sin2α+sin^2α)/(1-cos2α)的值

1)sin(π+π/6)(有没有错?)
=-sin(π/6)=-1/2
2)(sin2α+sin^2α)/(1-cos2α)
=(2sinαcosα+sin^2α)/(1-cos^2α+sin^2α)
=(2sinαcosα+sin^2α)/(2sin^2α)
因为π/2<α<π
sinα>0
=1/tanα+1/2
=1/(-2)+1/2=0

(
1)=-sin30°=-0.5
2)=(2sinacosa+sin^2a)/sin^2a
=2cota+1
=0