∵sinα=3/5,α∈(π/2,π) ∴cosα=-√(1-sin²α)=-4/5 故sin(2α)=2sinαcosα =2(3/5)(-4/5) =-24/25 cos(2α)=cos²α-sin²α =(-4/5)²-(3/5)² =7/25 tan(2α)=sin(2α)/cos(2α) =(-24/25)/(7/25) =-24/7
已知cos(α+π/4)=3/5,π/2≤α
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