已知sin(α-3π/4)cos(α-π/4)=1/4,求cos4α
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 11:49:23
已知sin(α-3π/4)cos(α-π/4)=1/4,求cos4α已知sin(α-3π/4)cos(α-π/4)=1/4,求cos4α已知sin(α-3π/4)cos(α-π/4)=1/4,求cos
已知sin(α-3π/4)cos(α-π/4)=1/4,求cos4α
已知sin(α-3π/4)cos(α-π/4)=1/4,求cos4α
已知sin(α-3π/4)cos(α-π/4)=1/4,求cos4α
已知sin(α-3π/4)cos(α-π/4)=-1/4,求cos4α
【解】sin(α-3π/4)= sin[(α-π/4) -π/2]
=- sin[π/2- (α-π/4)]
=-cos(α-π/4).
因为sin(α-3π/4)cos(α-π/4)=-1/4,
所以-cos(α-π/4) cos(α-π/4)=-1/4,
cos²(α-π/4) =1/4,
[1+ cos2(α-π/4)]/2 =1/4,
1+cos(2α-π/2) =1/2,
sin(2α) =-1/2,
cos4α=1-2 sin² (2α)=1/2.
sin(α π/6)*sin(α π/3)=√3/8 展开(sinα*√3/2 cosα*1/2)*(sinα*1/2 cosα*√3/2)=√3/8 √3/4(sinα)^2 √3/
已知sin(3π+α)=2cos(α-4π)求cos(π/2 -α)+5sin(π/2 +α)/2cos(π+α)-sin(-α)
已知tan(π-α)=2,求sin²α-2sinαcosα-cos²α/4cos²α-3sin²α+1
已知tan(π-α)=2,求sinα-2sinαcosα-cosα/4cosα-3sinα的值
已知0<α<π/2,且3sinα=4cosα求(sin^2α+2sinαcosα)/(3cos^2α-1)求cos^2α+sinαcosα
已知sinα+cosα=4/5且3π/22,若sinα+sinβ+sinγ=0,cosα+cosβ+cosγ=0,则cos(α-β)的值
已知tan(α+π/4)=2,求2cosα-sinα/cosα+3sinα
已知sin(3π-α)=-2sin(π/2+α)则sinαcosα
已知sinα+cosα=1/3(π
已知tan(π/4+α)=-3,求[2(Sinα)的平方+3SinαCosα]/(Cotα-SinαCosα)的值.
已知sin(α-β)cosα-cos(β-α)sinα=3/5,β是第三象限角,求sin(β+5π/4)的值
已知sin(α-β)cosα-cos(α-β)sinα=3/5,β是第三象限角,求sin(β+π/4)的值
【三角函数】已知sin(α-π)=2cos(2π-α),求[sin(π-α)+5cos(2π-α)]/[3cos(π-α)-sin(-α)]
已知sin(7π-α)-3cos(3π/2+α)=2,则(sin(π-α)+cos(π+α))/(sinα+cos(-α))的值是
已知sin(7π-α)-3cos(π-α)=2,则(sin(π-α)+cos(π+α))/(sinα+cos(-α))的值是
已知sin(7π-α)-3cos(π-α)=2,则(sin(π-α)+cos(π+α))/(sinα+cos(-α))的值是
已知tan(α+π/4)=3,计算2sinαcosα+6cos方α-3/5cos方α-6sinαcosα-5sin方α
已知sinα=4/5,且3π/2<α<2π,求sinα-cosα及(1/cos²α)-(1/sin²α)刚才有些错误,sinα+cosα=4/5
已知tanθ=(sin α-cos α)/(sin α+cos α) a,θ(0,π/2) 求证cos(3/2兀+ α) -sin(5π/2-α)=根号2sin(θ-4π)