已知函数fx等于二分之根号3sin2x
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f(x)=cosx/2(sinx/2+√3cosx/2)-√3/2=sinx/2cosx/2+√3cos²x/2-√3/2=1/2sinx+√3/2(1+cosx)-√3/2=sinxcos
y=f(x)的图像过点(2,根号2)根号2=2^nn=1/2y=x^1/2f(9)=3
f(x)=(√3/2)sinx+(1/2)cosx+1=sin(x+π/6)+1单调减区间为2kπ+π/2≤x+π/6≤2kπ+3π/2化简得:2kπ+π/3≤x≤2kπ+4π/3,即单调减区间为[2
fx=2asin²x-2√3asinxcosx+a+b=a(2-cos2x-√3sin2x)+b=a[2-2sin(2x+π/6)]+b2π/3
函数f(x)=ax+b/1+x²是定义在(-1,1)上的奇函数则f(0)=b=0又知f(1/2)=2/5即(a/2+b)/(1+1/4)=2/52a/(4+1)=2/5解得a=1(1)函数解
0因为根号≥0这是定理
二分之根号3
根号(1/2)=根号(2/4)=根号2/根号4=根号2/2即二分之根号二
f(x)=√3sin^2x+sinxcosx-(√3/2)(x∈R)=√3*[(1-cos2x)/2]+(1/2)sin2x-(√3/2)=(√3/2)-(√3/2)cos2x+(1/2)sin2x-
(1)由f(x)=cosx+根号3cos(x+二分之兀)化简得:f(X)=-2sin(x-π/6)要f(X)有最大值,则sin(x-π/6)=-1故:X-π/6=-π/2+2Kπ,K∈Z得出X=-π/
f(x)=(√3/2)sin2wx-(1/2)cos2wx-(1/2)=sin(2wx-π/6)-(1/2).周期T=2π/|w|=π,则w=1;此时f(x)=sin(2x-π/6)-(1/2)增区间
fx=1/2sin2x-√3/2cos2x=sin2xcosπ/3-cos2xsinπ/3=sin(2x-π/3)f(x)最小正周期T=2π/2=π当2x-π/3=2kπ-π/2,即x=kπ-π/12
sinA=1/2,角a=30度;sinB=根号2/2,角B=45度;则角C=180-75=105度.
假设f(x)=ax^2+bx+c你解出来的abc应该是含有t的代数式所以才会有第二问
√2=2^(1/2)=4^(1/4)8=2^3=4^(3/2)因此4^(1/4)≤x≤4^(3/2)∴1/4≤log4x≤3/2∴-3/2≤2(log4x-1)≤1,即-3/2≤f(x)≤1
二分之根号三
f(x)=√(4x-1)+√(3-4x)定义域A:4x-1>=0且3-4x>=0x>=1/4且x
f(x)=2sinx/2cosx/2√3cosx=sin(x/2x/2)√3cosx=sinx√3cosx=√(1^2√3^2)sin(xπ/3)=2sin(xπ/3)函数f(x)的最小正周期T=2π
f'(x)=2x+a>0x>-a/2-a/2=-2a=4