pt luong giac kho

T

truongtatvudtm

giai phuong trinh luong giac kho:
2cos6x - can3(cos2x) - sin2x = can3 - 2cos4x

giải nè :
2 (cos 6x+ cos 4x) - ( can 3( 2 cosx.cosx)- 2sinxcosx=0
=> 2 .cos5x.cosx - 2.can 3.cosx.cosx-2sinxcosx=0
=>2cosx.(cos 5x - sinx-1)=0
<=> cos x=0 or cos5x - sinx=1
x=pi/2 + kPi
hoặc cos 5x - sinx=1
=>cos 5x=1
hoac sin x =-1 vì sin^2 + cos ^2 =1
 
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