化简sinx+sin(x+2π/3)+cos(x+5π/6)

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/29 08:51:02
化简sinx+sin(x+2π/3)+cos(x+5π/6)
x){3̼ m QmtAXS;91rI*'V~ IbpLj HAjic1Pn5 .wILD@6yv.

化简sinx+sin(x+2π/3)+cos(x+5π/6)
化简sinx+sin(x+2π/3)+cos(x+5π/6)

化简sinx+sin(x+2π/3)+cos(x+5π/6)
=sinx+sin(x+2π/3)+sin(x+4π/3)
=sinx+sin(x+2π/3)+sin(x+2π/3)cos(2π/3)+sin(2π/3)cos(x+2π/3)
=sinx+sin(x+2π/3)-(1/2)sin(x+2π/3)+(√3/2)cos(x+2π/3)
=sinx+(1/2)sin(x+2π/3)+(√3/2)cos(x+2π/3)
=sinx+sin(x+2π/3+π/3)
=sinx+sin(x+π)
=sinx-sinx
=0