已知α,β∈(3/4π,π),sin(α+β)=-3/5,sin(β-π/4)+12/13,求cos(α+π/4)的值抱歉是sin(β-π/4)=12/13

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已知α,β∈(3/4π,π),sin(α+β)=-3/5,sin(β-π/4)+12/13,求cos(α+π/4)的值抱歉是sin(β-π/4)=12/13已知α,β∈(3/4π,π),sin(α+β

已知α,β∈(3/4π,π),sin(α+β)=-3/5,sin(β-π/4)+12/13,求cos(α+π/4)的值抱歉是sin(β-π/4)=12/13
已知α,β∈(3/4π,π),sin(α+β)=-3/5,sin(β-π/4)+12/13,求cos(α+π/4)的值
抱歉是sin(β-π/4)=12/13

已知α,β∈(3/4π,π),sin(α+β)=-3/5,sin(β-π/4)+12/13,求cos(α+π/4)的值抱歉是sin(β-π/4)=12/13
α,β∈(3/4π,π),sin(α+β)=-3/5,sin(β-π/4)+12/13
cos(a+b)=4/5,cos(b-pai/4)=5/13
cos(α+π/4)
=cos(a+b-(b-pai/4)
=cos(a+b)c0s(b-pai/4)+sin(a+b)sin(b-pai/4)
=4/5*5/13-(-3/5)*(12/13)
=56/65