f(x)=2sin(x/4)cos(x/4)+√3cos(x/2).求f(x)最小正周期.令g(x)=f(x+∏/3)判断g(x)奇偶性
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/14 23:52:00
f(x)=2sin(x/4)cos(x/4)+√3cos(x/2).求f(x)最小正周期.令g(x)=f(x+∏/3)判断g(x)奇偶性
f(x)=2sin(x/4)cos(x/4)+√3cos(x/2).求f(x)最小正周期.令g(x)=f(x+∏/3)判断g(x)奇偶性
f(x)=2sin(x/4)cos(x/4)+√3cos(x/2).求f(x)最小正周期.令g(x)=f(x+∏/3)判断g(x)奇偶性
(x)=2sin(x/4)cos(x/4)+√3cos(x/2)=sin(x/2)+√3cos(x/2)=2sin(x/2+pi/3)
T=4pi
g(x)=2sin(x/2+pi/2)=2cos(x/2)
偶函数
2sin(x/4)cos(x/4)=sin(x/2)
然后提取2,得2(1/2sin(x/2)+根号3cos(x/2))=2sin(x/2+60)
T=4π
判断奇偶就带进去就好了
f(x)=sin(x/2)+√3cos(x/2)
=2sin(x/2+arctan√3)
=2sin(x/2+π/3)
T=2π/(1/2)=4π
g(x)=f(x+π/3)=2sin[(x+π/3)/2+π/3]
=2sin(x/2+π/2)
=2cos(x/2)
g(-x)=2cos(-x/2)=2cos(x/2)=g(x)
且定义域x属于R,关于原点对称
所以是偶函数
f(x)=(6sin^4x-7sin^2x+2)/(sin^2x-cos^2x)
f(x)=sin(x+π/4)图像怎样变成F(x)=cos(2x)
f(x)=cos(2x)+2sin(x)化简
f'(sin^2x)=cos^2x,求f(x)f'((sin^x)^2)=(cos^x)^2
f(x)为奇函数,x>0,f(x)=sin 2x+cos x,则x
已知f(x)=cos^2x/1+sin^2x求f'(π/4)求导
证明∫( 0,π/2 ) (f sin x/(f sin x+f cos x) dx=π /4
已知f(x)=cos(x/2)[sin(x/2)-cos(x/2)],其导为?
f(x)=cos(2兀-x)cos(2/兀-x)-sin方x化简速求
f(sin x)=3-cos 2x,求f(cos x)=?
设f(sin x)=3-cos 2x,则f(cos x)=?
若F(sin x)=3-cos 2x 则F(cos x)=?
f'(sin x)=1-cos x 求f''(x)
化简:f(x)=sin(x)cos(x)/sin(2x)
f(sin x)=cos 2x +1 求 f(cos x)
f(sin x)=3-cos 2x求f(cos x)
f(cos x)=2-sin 2x,则f(sin x)=?
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