已知cos(π+α)=-3⼀5, π <α<2 π 求sin(α-3 π )+cos(α- π )

已知cos(π+α)=-3/5, π &lt;α&lt;2 π 求sin(α-3 π )+cos(α- π )
2025-04-10 07:19:22
推荐回答(2个)
回答(1):


回答(2):

cos(π+α)=-cosα
cosα=3/5 α在四象限 sinα=/(1-cosα^2)=-4/5
sin(α-3 π )+cos(α- π )=sin(α-3π+4 π)+cos(α-π +2π)
=sin(α+ π)+cos(α +π)=-sin(α)+cos(α+π )=4/5-3/5=1/5