已知y=1-sin(2x-π/5),x∈R.求：值域,周期 函数单调区间,最值及取得最值时x的值,对称轴及对称中心.

已知sinx=3/5,x∈(π/2,π),求【sin(x+y)+sin(x-y)】/【cos（x+y）+cos（x-y）】的值 已知sin(x+y)=1/3,sin(x-y)=1/5,则tanx/tany 已知sinx=1/3,sin(x+y)=1,则sin（2y+x)= 已知-π/2＜x＜0,sin x+cos x=1/5求sin 2x+2 sin 已知sin(X+Y)=2/3,sin(X-Y)=1/5,求(tanX)/(tanY)的值 已知x∈(0,π),求函数y=√3sinθ/(1+3sin^2θ)的最大值 已知sin(x+π/6)=1/3,求sin(5π/6-x)+sin^2(π/3-x) 已知sin(x+π/6)=1/4,求sin(5π/6-x)+sin^2(π/3-x) 已知x+y=根号2sin(a+π/4),x-y=根号2sin(a-π/4),求证x^2+y^2=1 已知x+y=根号2sin(a+π/4),x-y=根号2sin(a-π/4),求证x^2+y^2=1 已知x+y=根号2sin(α+π/4),x-y=根号2sin(α-π/4),求证x²+y²=1 已知函数y=-sin^2x+sinx(-π/2 已知y=sin(2x+π/6) 求值域 已知x+y+z=π,证明sin(x+y)+sin(y+z)+sin(z+x)≥sin2x+sin2y+sin2z 已知Sin x+Sin y=1/2,Cos x+Cos y=根号3/3,求S求Sin(x-y)/2 已知(sinx)2-(siny)2=m求sin(x y)sin(x-y)求sin(x+y)sin(x-y) 已知函数f(x)=根号2sin(2x-π/4)+1 若x∈（0,π/2),求函数y=f(x)的值域 已知函数f(x)=2sin(2x-π/4)+1(x∈R)求函数y=f(x)的零点的集合