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:2024/11/23 23:44:44
sin(θ-π/4)+cos(θ+π/4)化简,
x)+8C|vr~1 <|]MR>aEv6Eq,#]i}n&T.TD(́$Af

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

化简sin(θ-π/4)+cos(θ+π/4) sin(θ-π/4)+cos(θ+π/4)化简, sinθcosθ=1/8,θ∈(π/4,π/2),求cosθ-sinθ的值 求证2(cosθ -sinθ )/1+sinθ +cosθ =tan(π/4-θ /2)-tanθ /2 已知sinθsinβ=-4/7,则cosθcosβ∈已知tan(π-θ)=3,求下式的值 (5xin^3θ+cosθ)/(2cos^3θ+sin^2θcosθ) 已知 sin(θ+kπ)=-2cos (θ+kπ) 求 ⑴4sinθ-2cosθ/5cosθ+3sinθ; ⑵(1/4)sin平方θ+(2/5)cos平方θ已知sin(θ+kπ)=-2cos (θ+kπ)求⑴ 4sinθ-2cosθ/5cosθ+3sinθ⑵(1/4)sin平方θ+(2/5)cos平方θ 若 sinθ ·cosθ=1/8,求 sinθ +cosθ?怎样用单位圆确定 sinθ 和cosθ大若 sinθ ·cosθ=1/8,求 sinθ +cosθ?怎样用单位圆确定 sinθ 和cosθ谁大谁小?θ属于(π/4,π/2),关键是怎样用单位圆比较大小 已知sin(θ+kπ)=-2cos(θ+kπ),k∈Z,求4sinθ-2cosθ/5cosθ+3sinθ①4sinθ-2cosθ/5cosθ+3sinθ ②sin²θ+2/5cos²θ cosπ/4cosθ-sin3π/4sinθ=0,求θ 化简sinθ+cos(θ+2π/3)+cos(θ+4π/3) 已知tan(θ+π/4)=-2,求cosθ平方+sinθcosθ-1 COSθ-SINθ=√2COS(θ+π/4) 0 2(sinθ+cosθ)= 2√2sin(θ+π/4)为什么?; (-π/2 证明sinθ+cosθ=根号2sin(θ+π/4) (cosθ+sinθ)=√2sin(θ+π/4) 求值:(tan10°-√3)×cos10°/sin50° 求证:[sin(2α+β)]/sinα- 2cos(α+β)=sinβ/cosα 化简cosθ+cos(θ+2π/3)+cos(θ+4π/3) 证明:sin(α+β)sin(α-β)=sin^2α-sin^2β sin(θ-5π)cos[(-π/2)-θ]cos(8π-θ)}/sin[θ-(3π/2)]sin(-θ-4π)我晕,正的还是负的 θ∈(0,π/2),比较cosθ、sin(cosθ)、cos(sinθ)的大小