已知cosα=-5⼀13,且α∈(π,3π⼀2),求sin2α,cos2α,tan2α的值

2025-01-02 18:11:56
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回答1:

∵ α∈(π,3π/2)
∴ sinα<0
又∵cosα=-5/13
∴sinα=-12/13
∴tanα=12/5
sin2α=2sinαcosα=120/169
cos2α=1-2(sinα)^2=-119/169
tan2α=2*tanα/[1-(tanα)^2]=-120/119