已知sinα=5平方3,且α∈(2分之π,π),求sin2α⼀cos平方α值?

2025-01-19 12:14:20
推荐回答(2个)
回答1:

sinα = 3/5 = opp/hyp, α∈(π/2,π)
sin2α/cos^2α
= 2sinαcosα/cos^2α
= 2tanα = 2opp/adj
= 2*3/(-4) (since it is in the second quadrant)
= -3/2

回答2:

sin2a/cos^2a=2sinacosa/cos^2a=2sina/cosa
sina=
5平方3 这里是啥意思,是五分之三吧。
原式=2tana =-3/2