sin(θ-π/4)+cos(θ+π/4)化简,

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 13:20:36
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)化简,

sin(θ-π/4)+cos(θ+π/4)化简,
sin(θ-π/4)+cos(θ+π/4)
=sin(θ-π/4)+sin(π/2-(π/4+θ))
=-sin(π/4-θ)+sin(π/4-θ)
=0

原式=sinθcos(π/4)-sin(π/4)cosθ+cosθcos(π/4)-sinθsin(π/4)
=(√2/2)sinθ-(√2/2)cosθ+(√2/2)cosθ-(√2/2)sinθ
=0

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