化简sin(θ-π/4)+cos(θ+π/4)

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化简sin(θ-π/4)+cos(θ+π/4)化简sin(θ-π/4)+cos(θ+π/4)化简sin(θ-π/4)+cos(θ+π/4)(tanθ+tanπ/4)/(1-tanπ/4*tanθ)=1

化简sin(θ-π/4)+cos(θ+π/4)
化简sin(θ-π/4)+cos(θ+π/4)

化简sin(θ-π/4)+cos(θ+π/4)

(tanθ+tanπ/4)/(1-tanπ/4 *tanθ)=1/7
tanθ=-3/4
因为π/4<θ<π
so sinθ=3/5 cosθ=-4/5
sinθ+cosθ=-1/5

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