已知sin(π/3 -α)=1/5求sin(2π/3 +α)和cos(7π/6 +α)的值2.已知sinβ=3/5,sin(α-β)=1,求cosα的值

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已知sin(π/3 -α)=1/5求sin(2π/3 +α)和cos(7π/6 +α)的值2.已知sinβ=3/5,sin(α-β)=1,求cosα的值

已知sin(π/3 -α)=1/5求sin(2π/3 +α)和cos(7π/6 +α)的值2.已知sinβ=3/5,sin(α-β)=1,求cosα的值
已知sin(π/3 -α)=1/5求sin(2π/3 +α)和cos(7π/6 +α)的值
2.已知sinβ=3/5,sin(α-β)=1,求cosα的值

已知sin(π/3 -α)=1/5求sin(2π/3 +α)和cos(7π/6 +α)的值2.已知sinβ=3/5,sin(α-β)=1,求cosα的值
sin(π/3 -α)=1/5
sin(π-(π/3 -α))=sin(π/3 -α)

sin(2π/3 +α)=1/5
cos(7π/6 +α)
=cos(2π/3 +α+π/2)
=-sin(2π/3 +α)
=-1/5
(2)
sin(α-β)=1
cos(α-β)=0
sinβ=3/5
cosβ=±4/5.不影响结果
cosα
=cos((α-β)+β)
=cos(α-β)cosβ-sin(α-β)sinβ
=0-1*3/5
=-3/5

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