作业帮sinx 根号3cosx
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/10 19:14:56
(3/2)cosx-(√3/2)sinx=√3[(√3/2)cosx-(1/2)sinx]=√3[sin(π/3)cosx-cos(π/3)sinx]=√3sin(π/3-x)=-√3sin(x-π/
/>tanx=√3则x=kπ+π/3,k∈Z（1）k是偶数,则sinx=√3/2,cosx=1/2（2）k是奇数则sinx=√3/2,cosx=1/2(sinx+cosx)/(sinx-cosx)的值
用sinx2+cosx2=1再问：可以帮我把顺序写出吗。再问：谢谢。再答：就是3cos2x+cos2x=1再答：然后cosx=正负0.5就行了再问：就只有后面这两个步骤吧再问：还是前面那个也要再问：s
F(x)=m.n=2根号3sinxcosx+cos^2x-sin^2x=根号3sin2x+cos2x=2sin(2x+π/6)
sinx+根号3cosx=22(sinx/2+根号3cosx/2)=2sinx/2+根号3cosx/2=1sinxcosπ/3+cosxsinπ/3=1sin(x+π/3)=1所以x+π/3=2kπ+
（1）3根号15sinx+3根号5cosx=6根号5((根号3)/2sinx+1/2cosx)=6根号5(cos10°sinx+sin30°cosx)=(6根号5)sin(x+30°)（2）根号3si
[0,π/2]∫(sinx-cosx)/(sinx+cosx)^(1/3)dx=[0,π/2]∫-d(sinx+cosx)/(sinx+cosx)^(1/3)=[0,π/2]∫-d(sinx+cosx
不等于.如果等于,则两边平方,有sinx3-cosx3=cosx2sinx3移项有cosx3=sinx3(1-cosx2)=sinx5这个肯定不一定满足.
sinx+cosx=√2(sinxcosπ/4+cosxsinπ/4)=√2sin(x+π/4)sinx-cosx=√2(sinxcosπ/4-cosxsinπ/4)=√2sin(x-π/4)sinx
=2*(根号3sinx/2+cosx/2)=2(sinx*cos30°+cosxsin30°）=2sin（x+30°)
√3sinx-cosx=2(sinxcosπ/6-cosxsinπ/6)=2sin(x-π/6)
=(sinx)^2+√3sinxcosx=(1-cos2x)/2+√3/2(2sinxcosx)=1/2-1/2cosx+√3/2sin2x=1/2+sin(-π/6)cos2x+cos(-π/6)s
π/6+2kπ（k属于Z）
等于2sin(2x-六分之派）T=派
y=√3cosx+sinx=2[(√3/2)cosx+(1/2)sinx]=2(sinπ/3cosx+cosπ/3sinx)=2sin(x+π/3)所以它的最小正周期=2π；图像的对称轴为:x=kπ+
不用画图值域就是[-2,2]因为y=cosx的值域是[-1,1]
Y=sinx*cosx*√3+cos^2x=√3/2*sin2x+1/2*cos2x+1/2=sin(2x+∏/6)+1/2.
不管怎么写,都是有意义的.它只是函数,不存在成立不成立的问题.
没错,f(x)=2sin(2x+π/6)周期T=2π/2=π因为-1≤sin(2x+π/6)≤1f(x)max=2f(x)min=-2
原式=2(sinx*√2/2-cosx*√2/2)=2(sinxcosπ/4-cosxsinπ/4)=2sin(x-π/4)