已知函数f(X)=2sin(x+π/6)-2cosx 若0
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/28 06:20:19
xN@_iԡaIH$@R"؉Bb%kRg*v+`&H0]ώYx^?T䣹{:n
1Xn 病Q*Lήag?eii
RE|00XZ."
} ]0K DЦ?ܵgVey0=C;r3W\C/sֆLD0|) yC\8vlpC"(tɡ~;QrؼM;c]@Jzr3#|ΉOW}=y#Mԏm@
.
已知函数f(X)=2sin(x+π/6)-2cosx 若0
已知函数f(X)=2sin(x+π/6)-2cosx 若0
已知函数f(X)=2sin(x+π/6)-2cosx 若0
f(x)=2(sinxcosπ/6+cosxsinπ/6)-2cosx
=2(根号3/2*sinx+1/2*cosx)-2cosx
=根号3*sinx-cosx
=2(cosπ/6sinx-sinπ/6cosx)
=2sin(x-π/6),x∈[0,π/2].
00
所以2x-π/3∈(π/3,π/2)
sin(2x-π/3)=24/25
∴
cos(2x-π/6)=cos(2x-π/3+π/6)=cos(2x-π/3)cosπ/6-sin(2x-π/3)sinπ/6
=7/25*根号3/2-24/25*1/2
=7根号3-24/50
f(X)=2sin(x+π/6)-2cosx =sinx+根号3cosx-2cosx=sinx+(根号3-2)cosx
=5/6 再根据sin^2x+cos^2x=1 算出sinx cosx cos(2x-π/6)=2根号3cos2x+1/2sin2x
已知函数F(X)=SIN(2X+φ)(-π
已知函数f(x)=sin(2x+π/6)+sin(2x+π/6)+2cos²x
已知函数f(x)=cos^2(x-π/6)-sin^2x化简
已知函数f(x)=sin^2(x-π/6)+sin^2(x+π/6),若x∈[-π/3,π/6],求函数f(x)的值域
已知函数f(x)=2根号3sin平方x-sin(2x-π/3)
已知函数f(x)=2sin(2x+π/6)求函数f(x)的最大值
已知函数f(x)=[2sin(x-π/6)+√3sin x]cos x+sin^2x,x∈R
已知函数f(x)=2sin(ax-π/6)sin(ax+π/3)
已知函数f(x)=(1+1 anx)sin^2x+m sin(x+π/4)sin(x-π/4)
已知函数f(X)=2sin(x+π/6)-2cosx 若0
已知函数f(x)=2sin(2x+π/6)+a+1.
已知函数f(x)=2sin(ωx+φ-π/6)(0
已知函数f(x)=cos2x/[sin(π/4-x)]
已知函数f(x)=sin(2x+φ) (0
已知f(x)=2sin(2x+π/6) 函数y=f(x+fai)(0
已知函数f(x)=sin(2x+π/2)+sin(2x-π/6)+cos2x+1,求f(x)的最小正周期,对称轴
已知函数f(x)=sin(x+π/6)+2sin∧2 x/2,求f(x)最大值
已知函数f(x)=4sinx-2/1+sin²x 证明f(x+2π)=f(x)