函数y=sin²x-5 2sinx 5 2的最大值
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cosx+sinx=√2(√2/2cosx)+√2(√2/2sinx)=√2(√2/2cosx+√2/2sinx)=√2(sinπ/4cosx+cosπ/4sinx)=√2sin(x+π/4)划一公式
sinx的周期是2pai,sin3x的周期是三分之二pai,sin5x的周期是五分之二pai取其最小公倍数,则y的周期是2pai.
(0,(1+根2)/2]
函数y=(sinx+cosx)平方+2sin平方x=1+2sinxcosx+2sin^2x=sin2x-cos2x+2=√2sin(2x-π/4)+2
先化简,就比较容易看出来了f(x)=sin(x+π/4)+sin(π/4-x)=sinxcos(π/4)+cosxsin(π/4)+sin(π/4)cosx-cos(π/4)sinx=2cosxsin
不知道sinx是指数还是其他的,如果是y=xsinx的话,f'(x)=sinx+xcosx,如果sinx是x的指数的话,f'(x)=(sinx-1)*x^(sinx-1)
是函数y=1/[(ln10)*tanx]
是y=cos(tanx)/cos(x^2)
Y=cos^4x-2sinxcosx-sin^4x=cos^4x-sin^4x-2sinxcosx=(cos^2x-sin^2x)*1-sin2x=cos2x-sin2x=根号2倍的cos(x+4分之
2*cos(x^2)*x/sin(x)^2-2*sin(x^2)*cos(x)/sin(x)^3
sinx是周期函数,所以(sinx)^2当然也是.不过如果要基本周期应该用半角公式降次一下:(sinx)^2=(1-cos2x)/2.由cos2x的周期性可知,基本周期是π.
∵0≤x≤π2,∴π6≤x+π6≤2π3;∴当x+π6=π2时,函数取得最大值是y=sin(x+π6)=1;当x+π6=π6时,函数取得最小值是y=sin(x+π6)=12;∴函数y=sin(x+π6
y=sin(x+π/3)sin(x+π/2)=sin(x+π/3)cosx=(sinxcosπ/3+cosxsinπ/3)cosx=1/2sinxcosx+√3/2cos^2(x)[cos^2(x)指
f(x)=sin2(x+y/2)由于sin2x对称轴为π/4+kπ/2;故x+y/2=π/4+kπ/2x=π/4+kπ/2-y/2;将x=x=π/8代入,得y=π/4+kπ,根据y的范围可知:y=-3
由题意x∈[0,π2],得x+π3∈[π3,5π6],∴sin(x+π3)∈[12,1]∴函数y=sin(x+π3)在区间[0,π2]的最小值为12故答案为12
limsin(xy)/x(x.y)->(0.2)=lim{[sin(xy)/xy]*y}=im[sin(xy)/xy]*(limy)(x.y)->(0.2)=1*2=2这里把(xy)看作一个整体,当(
因为cos(2x)=1-2sin^2(x),所以sin^2(x)=[1-cos(2x)]/2.y=1/2sin(2x)+sin^2(x)=1/2sin(2x)+[1-cos(2x)]/2=1/2*si
y=sin(x+π/6)sin(x-π/6)+acosx=(3/4)(sinx)^2-(1/4)(cosx)^2+acosx=-(cosx)^2+acosx+3/4=-(cosx-a/2)^2+a^2
y'=[(sinx)/x]'=[(sinx)'(x)-(sinx)(x)']/(x²)=(xcosx-sinx)/(x²)