tana=-1/3,cos(a+b)=-12/13,a,b属于(π/2,π)tanα=-1/3,cos(α+β)=-12/13,α,β属于(π/2,π)求cosβ

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 16:54:19
tana=-1/3,cos(a+b)=-12/13,a,b属于(π/2,π)tanα=-1/3,cos(α+β)=-12/13,α,β属于(π/2,π)求cosβ
x?0ůӆZ] ĉhw(ac/w (D'^˒pc hM"T EE=Gd8@MW,'Kg x2ʒE;եNBϧI[YXӍV,tQ+Z(gK53WWGR^_n(O`,lXG ZiP e

tana=-1/3,cos(a+b)=-12/13,a,b属于(π/2,π)tanα=-1/3,cos(α+β)=-12/13,α,β属于(π/2,π)求cosβ
tana=-1/3,cos(a+b)=-12/13,a,b属于(π/2,π)
tanα=-1/3,cos(α+β)=-12/13,α,β属于(π/2,π)求cosβ

tana=-1/3,cos(a+b)=-12/13,a,b属于(π/2,π)tanα=-1/3,cos(α+β)=-12/13,α,β属于(π/2,π)求cosβ
α∈(π/2,π),tanα=-1/3,则sinα=1/√10,cosα=-3/√10
α+β∈(π,2π),cos(α+β)=-12/13,则sin(α+β)=-5/13
cosβ=cos(α+β-α)=cos(α+β)cosα+sin(α+β)sinα=-12/13×(-3/√10)+(-5/13)×1/√10=31/(13√10)