• 2021-04-14
    【计算题】已知sinα+cosα=1,求:(1)sinαcosα; (2)sin α-cos α; (3)sin α-cos α
  • 计算题答案

    内容

    • 0

      sin(α-β)cosβ+cos(α-β)sinβ=( ) A: sin(α-2β) B: cos(α-2β) C: sinα D: cosα

    • 1

      化简三角函数表达式<img src="http://img1.ph.126.net/i0New2KyMz3LiF5MNUZIPA==/6597565646403144931.png" />? TrigFactor[(Sin[2x]-Cos[2x]+1)/(Sin[2x]+Cos[2x]+1)]|Simplify[(Sin[2x]-Cos[2x]+1)/(Sin[2x]+Cos[2x]+1),Trig→True]|TrigReduce[(Sin[2x]-Cos[2x]+1)/(Sin[2x]+Cos[2x]+1)]|Cancel[(Sin[2x]-Cos[2x]+1)/(Sin[2x]+Cos[2x]+1),Trig→True]

    • 2

      求微分方程[img=634x60]17da653955cf9e7.png[/img]的特解。 ( ) A: sin(2*x)/3 - cos(x) - cos(x)/3 B: sin(2*x)/3 - cos(x) - sin(x)/3 C: cos(2*x)/3 - cos(x) - sin(x)/3 D: sin(2*x)/3 - sin(x) - sin(x)/3

    • 3

      已知sinα-cosβ=-23,cosα-sinβ=-23,则sin(α+β)=______.

    • 4

      已知sinα+sinβ+sinγ=0,cosα+cosβ-cosγ=0,则cos(α-β)的值是&#91;    &#93;