求化简f(x)=sin^2x+2根号3sin(x+π/4)cos(x-π/4)-cos^2x-根号3还有为什么我看不到回复orz……
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 14:21:51
求化简f(x)=sin^2x+2根号3sin(x+π/4)cos(x-π/4)-cos^2x-根号3还有为什么我看不到回复orz……
求化简f(x)=sin^2x+2根号3sin(x+π/4)cos(x-π/4)-cos^2x-根号3
还有为什么我看不到回复orz……
求化简f(x)=sin^2x+2根号3sin(x+π/4)cos(x-π/4)-cos^2x-根号3还有为什么我看不到回复orz……
利用三角函数积化和差公式
sinAcosB=0.5[sin(A+B)+sin(A-B)]
和倍角公式cos2A=cos²A-sin²A
原式=sin²x+√3[sin2x+sin(π/2)]-cos²x-√3
=-cos2x+√3sin2x
=2[-sin(π/6)cos2x+cos(π/6)sin2x]
=2sin[2x-(π/6)]
f(x)=sin^2x+2根号3sin(x+π/4)cos(x-π/4)-cos^2x-根号3
=sin^2x+根号3* sin(2x+π/2)-(1-sin^2x)-根号3
=2sin^2x-1-根号3-根号3* cos(2x)
=2sin^2x-1-根号3-根号3*(1-2sin^2x)
=2sin^2x-1-根号3-根号3+2根号3sin^2x
=(2+2根号3)sin^2x -2根号3-1
不懂可追问,望采纳!
已知函数f(x)=2根号3sin平方x-sin(2x-π/3)
f(x)=2sin^2x+根号3sin2x+α,且|f(x)|
f(x)=1+sin(2x)-根号3 cos2x,|f(x)-m|
f(x)=1+sin(2x)-根号3 cos2x |f(x)-m|
函数f(x)=负根号3sin ^2x+sin x cos x f(a/2)=1/4-根号3/2求sin a值
已知F(X)=根号3COS^2 X+SIN XCOS X-2SIN X*SIN(X-π/6),求F(X)的最大值
f(x)=根号3sin^2x+sinxcosx-根号3/2
f(x)=2sin^2(π/4+x)+根号3(sin^2x+cos^2x)f(x)=2sin^2(π/4+x)+根号3(sin^2x-cos^2x) 符号打错了
求函数f(x)=2sin(π-x)sin(π/2-x)+2根号3sin^2x-根号3的单调递减区间
已知函数f(x)=根号3sin(2x+fai)-cos(2x+fai)(0
函数f(x)=sin(2x+q)+根号3cos(2x+q)(0
已知函数f(x)=sin(2x+α)+根号3cos(2x+α)(0
化简F(X)=2COSXCOSX(π/6-X)-根号3SIN^2X+SINXCOSX
化简f(x)=根号3sinxcosx-sin^2x,x∈R
已知f(x)=cos^4x-2根号3sinxcosx-sin^4x 化简
化解三角函数F(x)=sin平方x+根号3sinxcosx+2cos平方x
f(x)=sin(2x-45)-2根号2*sin方x的周期
f(x)=根号3sin(2x-π/6)+2sin^2(x-π/12)求单调递增区间