对任意实数x,化简sinx+sin(x+2/3派)+sin(x+4/3派)=?
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/21 08:06:26
对任意实数x,化简sinx+sin(x+2/3派)+sin(x+4/3派)=?
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
=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
已知sinx=-5/13,x属于(派,3派/2),求sin(x-派/4)
已知sinx=3/5,求sin(x-3/2派cos(派-x)tan(派+x)
已知COS(X+派/4)=根号2/10,x属于(派/2,3派/4) 求sinx 求sin(2x+派\4)
函数f(x)=3sin(wx+a)对任意实数x都有f(派/6 +x)f(派/6 -x),则f(派/6)=
4sinx+4sin(2派/3-x)
化简:sin(2派-x)tan(派+x)cot(-x-派)/tan(3派-x)cos(派-x)
f(x)=sin(派-x)cos(2派-x)/sin(派/2+x)tan(派+a) 求f(31派/3)
已知sinx=4/5,x属于(派/2.派)求sin(2x+派/4)的值
已知sinx=根号3/3,求sinx+cos(派+x)/sinx+sin(派/2-x)的值
sin(x+派/3)sin(x+11派/6)=1/2定义域是 :负派 到 派/2
已知tanx =根号3/3,求sinx+cos(派+x)/sinx+sin(派/2-x)的值
sin(x+派/3)+2sin(x-派/3)-根号3cos(2派/3-x)