已知函数f(x)=2cos(x+π/3)[sin(x+π/3)-更号3倍的cos(x+π/3)]求f(x)的值域和最小正
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/10/04 17:30:10
已知函数f(x)=2cos(x+π/3)[sin(x+π/3)-更号3倍的cos(x+π/3)]求f(x)的值域和最小正周期
f(x)=2cos(x+π/3)[sin(x+π/3)-√3cos(x+π/3)]
=4cos(x+π/3)[1/2 sin(x+π/3)-√3/2 cos(x+π/3)]
=4cos(x+π/3)sin(x+π/3+π/3)
=4cos(x+π/3)sin(x+2π/3)
=4×(1/2)×[sin(x+2π/3+x+π/3)+sin(x+2π/3-x-π/3)]
=2×[sin(2x+π)+sin(π/3)]
=2×[sin(2x+π)+√3/2]
=-2sin(2x)+√3
值域[√3-2,√3+2]
w=π
=4cos(x+π/3)[1/2 sin(x+π/3)-√3/2 cos(x+π/3)]
=4cos(x+π/3)sin(x+π/3+π/3)
=4cos(x+π/3)sin(x+2π/3)
=4×(1/2)×[sin(x+2π/3+x+π/3)+sin(x+2π/3-x-π/3)]
=2×[sin(2x+π)+sin(π/3)]
=2×[sin(2x+π)+√3/2]
=-2sin(2x)+√3
值域[√3-2,√3+2]
w=π
已知函数f(x)=2cos(x+π/3)[sin(x+π/3)-更号3倍的cos(x+π/3)]求f(x)的值域和最小正
已知函数f(x)=sin平方(x)+(√3)sin(x)cos(x)+2cos平方(x)求函数f(x)的最小正周期和单调
已知函数f(x)=cos(x-π|3)-sin(π|2-x)求函数的最小正周期
已知函数f(x)=sin(x+7π/4)+cos(x-3π/4),x∈R (1)求f(x)的最小正周期和最小值
已知函数 f(x)=sin(x+7/4π)+cos(x-3/4π),x∈R 求f(x)的最小正周期和最小值
已知函数f(x)=cos(2x-π\3)+sin²x-cos²x,求函数的最小正周期及其图像的对称轴
已知·函数f(x)=sin(2x-3/π)+cos(32x-6/π)+2cos²x-1 求函数的最小正周期
已知函数f(x)=cos(2x+π/3)+sin²x;x求f(x)的最小正周期,最大值
已知函数f(x)=2√3sin(x+π/4)cos(x+π/4)-sin(2x+π).求f(x)的最小正周期
已知f(x)=-1/2+sin(π/6-2x)+cos(2x-π/3)+cos²x,(1)求f(x)的最小正周
已知函数F(x)=√3COS2 X+SIN X COS X - 求函数f(x)的最小正周期T和函数F(X)
已知函数fx=2根号3sinxcosx+cos^2x-sin^2x,(1)求f(x)的最小正周期和值域,