y=cos^2 x+sinx,x∈[-π/4,π/4]求值域
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/26 13:22:54
y=cos^2x+sinx,x∈[-π/4,π/4]求值域y=cos^2x+sinx,x∈[-π/4,π/4]求值域y=cos^2x+sinx,x∈[-π/4,π/4]求值域换元法.令t=sinx∵x
y=cos^2 x+sinx,x∈[-π/4,π/4]求值域
y=cos^2 x+sinx,x∈[-π/4,π/4]求值域
y=cos^2 x+sinx,x∈[-π/4,π/4]求值域
换元法.
令t=sinx
∵ x∈[-π/4,π/4]
∴ t∈[-√2/2,√2/2]
y=cos²x+sinx
=1-sin²x+sinx
=-t²+t+1
=-(t-1/2)²+5/4
是二次函数,图像开口向下,对称轴是t=1/2
∴ t=1/2时,y有最大值5/4
t=-√2/2时,y有最小值-1/2-√2/2+1=1/2-√2/2
y=2cos^2 x+sinx
已知sinx=3/5,x∈(π/2,π),求【sin(x+y)+sin(x-y)】/【cos(x+y)+cos(x-y)】的值
求值域y=2sinx+cos^2x,x∈[π/6,2π/3)
y=cos^2 x+sinx,x∈[-π/4,π/4]求值域
求函数y=(2sinx*cos^2x)/(1+sinx),x∈[-π/4,π/4]的最大值
y=2sinx(sinx+cos),x∈[0,π/2]最大值为?3Q如题y=2sinx(sinx+cos)是什么意思?是 y=2sin[x(sinx+cos)]还是 y=2(sinx)(sinx+cos)像asinx+bcosx这样的题提取什么?
求函数y= cos^2x+ sinx (| x |
y=cos^2x+sinx+1(|x|
sin(x+y)cosx+cos(x+y)sinx=1/3 x∈(3π/2,2π) 求cos(2x+π/4)
y=2^sinx + cos√x 求y’
y=(2sinx-1)/(sinx+3)和y=cos^2x+sinx的值域
证明 [sin(2x+y)/sinx]-2cos(x+y)=siny/sinx
求证sin(2x+y)/sinx-2cos(x+y)=siny/sinx
求证:sin(2x+y)/sinx-2cos(x+y)=siny/sinx
-sinx=cos((3π/2-x)从-sinx推导
高中三角函数题求y=cos²x+sinx-2 x属于【-π/6,2π/3】求y=sinx-cosx+sinx x属于【0,π】
求多元函数极值f(x,y)=sinx+cosy+cos(x-y),0≤x,y≤π/2
求函数f(x,y)=sinx+cosy+cos(x-y),0≤x,y≤π/2的极值