化简:2sin(π+α)cos(π-α)

来源:学生作业学帮网 编辑:学帮网 时间:2024/04/29 11:37:38

化简:2sin(π+α)cos(π-α)

2sin(π+α)cos(π-α)
=2(-sina)(-cosa)
=sin2a

2sin(π+α)cos(π-α)
=2sinα*cosα
=sin2α

化简[sin(π/2-α)cos(π/2-α)]/cos(π+α)-[sin(π-α)cos(π/2-α)]/sin(π+α) 化简:2sin(π+α)cos(π-α) α∈(0,π/2 ),比较 sin(cosα) 与cos(sinα)大小 化简:[ cos(α-π/2)/sin(5π/2+α) ] ×sin(α-2π) × cos(2π-α)RT. 化简[sin(2π-α)cos(π+α)cos(π/2+α)cos(11π/2-α)]/[cos(π-α)sin(π+α)sin(-π-α)sin[(...化简[sin(2π-α)cos(π+α)cos(π/2+α)cos(11π/2-α)]/[cos(π-α)sin(π+α)sin(-π-α)sin[(9π/2)+α]] sin(α-π)=2cos(α-2π)求cos平方α-sin平方αcosα 设α∈(0,π/2),则cosα,sin(cosα),cos(sinα)的大小关系为什么? 化简:2sinα^2cosα-sin(3/2π-α)cos2α= 设角a=-35π/6,则2sin(π+α)cos(π-α)-cos(π+α)/ 1+sin^2α+sin(π-α)-cos^2(π+α)sina=sin(-35π/6)=sin(-6π+π/6)=1/2 cosα=根号3/22sin(π+α)cos(π-α)-cos(π+α)/ [1+sin^2α+sin(π-α)-cos^2(π+α)]=2(-sinα)(-cosα)+cosα/[1+sin² 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 (sinα+cosα)^2化简 若α∈(0,π),化简[1+sinα+cosα)(sinα/2-cosα/2)]/根号(2+2cosα) ①sin(α+180°)cos(-α)sin(-α-180°)和②sin³(-α)cos(2π+α)tan(-α-π)化简 已知6sin²α+sinαcosα-2cos²α=0,α∈(π/2,π),求值1).(sinα-3cosα)/(sinα-cosα);2).sinαcosα-sin²α;3).sin²α-3cosαsinα-2 sin(α+β)-2sinαcosβ/2sinαsinβ+cos(α+β)化简 化简sin(α+β)-2sinαcosβ 除以 2sinαsinβ+cos(α+β) sin(α-β)sin(β-r)-cos(α-β)cos(r-β) 1.sin(α-β)sin(β-r)-cos(α-β)cos(r-β)2.( tan4分之5π+tan12分之5π)/(1-tan12分之5π)3.[ sin(α+β)-2sinαcosβ]/2sinαsinβ+cos(α+β) 【三角函数】已知sin(α-π)=2cos(2π-α),求[sin(π-α)+5cos(2π-α)]/[3cos(π-α)-sin(-α)]