ptlg

L

l94

3cosx+cos2x-cos3x+1=2sinxsin3x

sin (pi\2+x)sin(pi\2-x)=3cos(pi\4+x)cos(pi\4-x)

giup do nhe hjjjjhj:)>-

[TEX] sin (pi/2+x)sin(pi/2-x)=3cos(pi/4+x)cos(pi/4-x) [/TEX]
[TEX]<=> 1/2(cos2x-cospi)=3/2(cospi/2+cos2x)[/TEX]
[TEX]<=>1/2cos2x-1/2cospi=3/2cospi/2+3/2cos2x[/TEX]
[TEX]<=>cos2x=1/2[/TEX]
[TEX]<=> cos2x=cos(pi/3)[/TEX]
[TEX]=>...........[/TEX]
 
L

l94

3cosx+cos2x-cos3x+1=2sinxsin3x

giup do nhe hjjjjhj:)>-

[TEX] 3cosx+cos2x-cos3x+1=2sinxsin3x[/TEX]
[TEX]<=> 4cos^3x-2cos3x+2cox^2x-2sinxsin3x=0[/TEX]
[TEX]<=> 4cos^3x-(8cos^3x-6cosx)+2cos^2x-6sin^2x+8sin^4x=0[/TEX]
[TEX]<=> 4cos^3x-(8cos^3x-6cosx)+2cos^2x-6sin^2x+8(1-2sin^2xcos^2x-cos^4x[/TEX]
[TEX]<=> 4cos^3x-(8cos^3x-6cosx)+2cos^2x-6sin^2x+8[1-(2-2cos^2x)cos^2x-cos^4x]=0[/TEX]
[TEX]<=>4cos^3x-(8cos^3x-6cosx)+2cos^2x-6sin^2x+8(1-2cos^2x+cos^4x)=0[/TEX]
[TEX]<=>4cos^3x-(8cos^3x-6cosx)+2cos^2x-6sin^2x+8-16cos^2x+8cos^4x=0[/TEX]
[TEX]<=>4cos^3x-8cos^3x+6cosx+2cos^2x-6+6cos^2x+8-16cos^2x+8cos^4x=0[/TEX]
[TEX]<=>8cos^4x-4cos^3x-8cos^2x+6cosx+2=0[/TEX]
giải pt bậc 4
 
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C

connguoivietnam

[TEX]3cosx+cos2x-cos3x+1=2sinxsin3x[/TEX]
[TEX]3cosx+cos2x-cos3x+1=cos2x-cos4x[/TEX]
[TEX]3cosx-cos3x+1+cos4x=0[/TEX]
[TEX]6cosx-4cos^3x+2cos^22x=0[/TEX]
[TEX]6cosx-4cos^3x+2(2cos^2x-1)^2=0[/TEX]
[TEX]6cosx-4cos^3x+2(4cos^4x-4cos^2x+1)=0[/TEX]
[TEX]3cosx-2cos^3x+4cos^4x-4cos^2x+1=0[/TEX]
[TEX]4cos^4x-2cos^3x-4cos^2x+3cosx+1=0[/TEX]
 
L

l94

hehe. xem may bai ai cung lam the. nhung den pt bac bon thi chang giup nhiet tinh ti nao

pt bậc 4 đó tương đương với
[TEX](t+1)(4t^3 - 6t^2 + 2t + 1) = 0 |t|\leq1[/TEX]
[TEX]t+1=0 (1)[/TEX]
hoặc [TEX]4t^3-6t^2+2t+1=0 (2)[/TEX]
(2) ta thấy 2 ko có nghiệm nguyên nên dùng ct giải pt bậc 3 tổng quát mà giải
 
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D

dilentucaylua

cảm ơn mọi người đã giúp đỡ mình nhé @!!!!!!!!!!! hjjjjjjjjjhjjjjjjjjjjjjjjjjjjjjjjj
 
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