cosx小于2分之根号2
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y=(sinx+a).(cosx+a)=sinxcosx+a(sinx+cosx)+a^2,令,sinx+cosx=t,则有√2sin(x+45)=t,|t|≤√2.sinxcosx=(t^2-1)/
解析sinx+cosx=√2/2(sinx+cosx)2=1/2(sinx+cosx)2=1+sin2x=1/2sin2x=-1/2(sinx-cosx)2=1-sin2x=3/2sinx-cosx=
1)sinxcosx=[(sinx+cosx)^2-(sinx^2+cosx^)]/2=(m^2-1)/22)sinx-cosx=正负根号(2-m^2)3)sinx^3+cosx^3=(3m-m^3)
sinx+cosx=1/5平方得:sin²x+cos²x+2sinxcosx=1/25即:1+2sinxcosx=1/25;2sinxcosx=-24/25;(sinx-cosx)
[2cos^2(x/2)]/[2cosx(-1/2-cos2x)]/[cosx(-1/2-cos2x)]-sinx-1=4cos^2(x/2)/[cos^2x(1+2cos2x)^2]-sinx-1c
1、sinx+cosx=根号2*sin(x+pai/4)
f(x)=3*根号2*sinx/4*cosx/4+根号6*(cosx/4)的平方-根号6*1/2-m小于或等于0∴(3√2/2)sin(x/2)+(√6/2)[1+cos(x/2)]-√6/2≤m∴(
要详细过程,很急,明天要交,好心人帮帮忙~问题补充:求函数f(x)的最f(x)=2sinxcosx/2+√3[(cosx)^2+(√3/2)cos2x+1/2sin2x-√3/2=
(2kπ+π/6,2kπ+11π/6)
原式=2√2(cosx*1/2-sinx*√3/2)=2√2(cosxcosπ/3-sinxsinπ/3)=2√2cos(x+π/3)
1≤cosa-sina≤√2cosa-sina=√2sin(π/4-x)∴√2/2≤sin(π/4-x)≤1∴-π/2≤x≤0设m=cosa-sina所以m^2=1-2sinxcosxsinxcosx
10(根号2/10cosx-根号6/10sinx)=10sin(α+x)其中sinα=根号2/10cosα=根号6/10
f(x)=向量om*向量on=2cos^2x+2倍的根号3(1/2*sin2x+根号3分之6a)=2cos^2+根号3*sin2x+12a=cos2x+根号3*sin2x+12a+1=2sin(2x+
原式=2(sinx*√2/2-cosx*√2/2)=2(sinxcosπ/4-cosxsinπ/4)=2sin(x-π/4)
sinx+cosx=√2*sin(x+45)
(1)f(x)=sin(2x+π/6)+√3最小正周期为π,对称轴方程x=kπ+π/6,x=kπ-π/3(2)解析:f(-5π/12)=-sin(4π/6)+√3=√3/2,f(π/12)=sin(π
[2π/3+2kπ,4π/3+2kπ]k为Z.
2√2sin(π/6-x)