化简 sin(a b)cosx-1 2[sin(2a b)]

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化简 sin(a b)cosx-1 2[sin(2a b)]
化简(sin^2 x/sin x-cosx)-(sin x+cosx/tan^2 x-1)

tan²-1=sin²x/cos²x-1=(sin²x-cos²x)/cos²x=(sinx+cosx)(sinx-cosx)/cos&su

sin(1-cosx)^2的导数

(1-cosx)'=sinx[(1-cosx)^2]'=(1-cosx)'*2(1-cosx)=2sinx(1-cosx)[sin(1-cosx)^2]'=[(1-cosx)^2]'*cos(1-co

sin^2xtanx+cos^2x/tanx+2sinxcosx-(1+cosx/sinxcosx)化简

sin^2xtanx+cos^2x/tanx+2sinxcosx-(1+cosx/sinxcosx)=sin^3x/cosx+cos^3x/sinx+2sinxcosx-(1+cosx/sinxcos

化简[sin^2(x)]/(sinx-cosx)-(sinx+cosx)/[tan^2(x)-1]-sinx

[sin^2(x)]/(sinx-cosx)-(sinx+cosx)/[tan^2(x)-1]-sinx=sin^2x/(sinx-cosx)-(sinx+cosx)/[(tanx+1)(tanx-1

已知向量a=(1,sinx),b=(sin^2x+cosx),函数f(x)=ab,x∈[0,π/2]

等一下,你确定你那个b向量没写错?

求证 sin^2x/(sinx-cosx)-(sinx+cosx)/tan^2 x-1=sinx+cosx

左边=sin²x/(sinx-cosx)-(sinx+cosx)/(sin²x/cos²x-1)=sin²x(sinx+cosx)/(sinx-cosx)(si

化简cos(X-30°)+sin(X+30°)+cosX+1

cos(X-30°)+sin(X+30°)+cosX+1=cosX*cos30°+sinX*sin30°+sinX*cos30°+cosX*sin30°+cosX+1=[(根号3+1)/2]sinX+

求下列函数的值域:1)sinx+cosx;2)sin^2 x-cosx+1;3)cosx/(2cosx+1)

1.y=√2sin(x+π/4),所以值域是[-√2,√2]2.y=1-cos^2x-cosx+1=-cos^2x-cosx+2设t=cosx,y=-t^2-t+2(=-1

设x为第二象限角,化简sinx/cosx*根号1/sin²x-1

本题应为:(sinx/cosx)*[√(1/sin²x)]-1否则因为sin²x-1小于0,如果是“根号1(/sin²x-1)”将无意义下面化简本题因为x为第二象限角,所

化简:{(1+sinx+cosx)[sin(x/2)-cos(x/2)}/根号下的(2+2cosx)

[1+2cosx/2*sinx/2+cos(x/2)^2-sin(x/2)^2][sin(x/2)-cos(x/2)]/根号下的[2*2cos(x/2)^2]=2cos(x/2)[sin(x/2)+c

化简(根号3)/2sinx+1/2cosx=sin(x+π/6),

因为sin(π/6)=1/2;cos(π/6)=(√3)/2所以原式等于cos(π/6)sinx+sin(π/6)cosx利用两角和公式sin(A+B)=sinAcosB+cosAsinB得到sin(

化简F(X)=2(COSX)^2+2 sin x cos x+1

F(X)=2(COSX)^2+2*√3sinxcosx+1=-[1-2(COSX)^2]+√3sin(2x)+2=√3sin(2x)-[1-2(COSX)^2]+2=√3sin(2x)-cos(2x)

(sin^x/sinx-cosx)-sinx+cosx/tan^2x-1

sin^2x/(sinx-cosx)-(sinx+cosx)/(tan^2x-1)=sin^2x/(sinx-cosx)-(sinx+cosx)/[(tanx+1)(tanx-1)]=sin^2x/(

化简sin^2x/(1+cosx)-cos^2x/(1+sinx)

原式=(1-cos^2x)/(1+cosx)-(1-sin^2x)/(1+sinx)=(1-cosx)(1+cosx)/(1+cosx)-(1-sinx)(1+sinx)/(1+sinx)=(1-co

化简sin^4x/sinx-cosx - (sinx+cosx)cos^2x/tan^2x-1

sin⁴x/(sinx-cosx)-(sinx+cosx)cos²x/(tan²x-1)=sin⁴x/(sinx-cosx)-(sinx+cosx)cos&

化简:1、sin(x-π/3)-cos(x+π/6)+√3cosx=?2、已知,sinα+sinβ=√2/2,求cosα

sin(x-π/3)-cos(x+π/6)+√3cosx=sinxcosπ/3-cosxsinπ/3-cosxcosπ/6+sinxsinπ/6+√3cosx=1/2*sinx-√3/2*cosx-√

化简(2cosx^4-2cosx^2+1/2)/(2tan(π/4-x)sin(π/4+x)^2)

=2(cos(x)*cos(x)-1/2)^2/(2tan(π/4-x)cos(π/4-x)^2)=(1/2)*cos^2(2x)/[2sin(π/4-x)*cos(π/4-x)]=(1/2)*cos

sin2atana等于 化简:根号(1-cosx)= 求值sin π/10×cos π/5

sin2atana=2sinacosa*sina/cosa=2sin²a√(1-cosx)=√[2sin²(x/2)]=√2|sin(x/2)|sinπ/10×cosπ/5=cos

已知向量a等于(cosx,cosx),向量b等于(2cos,sin(π-x))若f(x)等于ab+1,求函数f(x)的解

向量b=(2cos,sinx)f(x)=2cos^2x+sinxcosx+1=1/2sin2x+cos2x+2=√5/2sin(2x+Φ)+2这个函数的周期是π