> 数学 >
已知tanθ=2则(sinθ+2cosθ)/(sinθ-cosθ)的值为
人气:377 ℃ 时间:2020-04-13 06:22:38
解答
(sinθ+2cosθ)/(sinθ-cosθ) (上下同除以cosθ)
=(tanθ+2)/(tanθ-1)
=4那(sin^2θ+2cosθsinθ+1)=?(sin^2θ+2cosθsinθ+1)=(sin^2θ+2cosθsinθ)/1+1=(sin^2θ+2cosθsinθ)/(sin^2θ+cos^2θ) +1(上下同除以cos^2θ)=(tan^2θ+2tanθ)/(tan^2θ+1) +1=8/5+1=13/5
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版