tanα=3,则cos(π/4-α)=tanα=3,则cos(π/4-α)=
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/01 11:36:17
tanα=3,则cos(π/4-α)=tanα=3,则cos(π/4-α)=
tanα=3,则cos(π/4-α)=
tanα=3,则cos(π/4-α)=
tanα=3,则cos(π/4-α)=tanα=3,则cos(π/4-α)=
∵tanα=3
∴sinα/cosα=3
sinα=3cosα
又sin²α+cos²α=1
∴9cos²α+cos²α=1
∴cos²α=1/10
∴cosα=√10/10,sinα=3√10/10
或cosα=-√10/10,sinα=-3√10/10
当cosα=√10/10,sinα=3√10/10时
cos(π/4-α)
=cosπ/4cosα+sinπ/4sinα
=√2/2(cosα+sinα)
=√2/2*4√10/10
=2√5/5
当cosα=-√10/10,sinα=-3√10/10时
cos(π/4-α)
=cosπ/4cosα+sinπ/4sinα
=√2/2(cosα+sinα)
=√2/2*(-4√10/10)
=-2√5/5
你知不知到万能公式?
已知tanα=t 求 sin^2α-4sinαcosα+3cos^2α)
设cosα=t,则tan(π-α)=?答案为什么有正负呢?
若cos(α+β)/cos(α-β)=2/3则tanαtanβ=
设α+β=π/3,tanα+tanβ=3,则cosαcosβ=
已知cos(a+β)=1/4,cos(α-β)=3/4则tanαtanβ
已知(1+tanα)(1+tanβ)=4cos(π/3)0
tanα=3,则cos(π/4-α)=tanα=3,则cos(π/4-α)=
cos(α-π/3)=cosα,则tanα=
已知tan(π+α)=-1/3 tan(α+β)=[sin(π-2α)+4(cosα)^2]/[10(cosα)^2-sin2α]求……已知tan(π+α)=-1/3tan(α+β)=[sin(π-2α)+4(cosα)^2]/[10(cosα)^2-sin2α]求:1、tan(α+β)2、tanβ
已知tanα=-4分之3 α∈(-π,0)则cosα=?
已知a∈(-π/2.0).cosα=3/5则tan(α+π/4)=
tanα=3 则sinαcosα=?
已知tanα=2,则cos(α+π)等于
tanα=-4求3sinαcosα
cosα=-4/5 则tanα/2
tanα/2=1/3则cosα
tan(a-4π)cos(π+a)sin^2(a+3π)/tan(3t+a)cos^2(2/5π+2)=-2/1求cosa*|tana|
已知tan(π/4+α)=-1/2,求4cosα(sinα+cosα)/(1-tanα)