Ответ: p/2+pn; 2pn; + - 2p/3 +2pn, n E Z
Объяснение:
10) 4cos^3x-(2cos^2x-1) -2cosx -1=0
4cos^3x-2cos^2x+1-2cosx-1=0, 2cosx(2cos^2x-cosx-1)=0
cosx=0, x=p/2 +pn, 2cos^2x-cosx-1=0, cosx=y, 2y^2-y-1=0,
D=1+8=9, y=(1+-3)/4, y1=1, y2=-1/2, cosx=1, x=2pn, cosx= -1/2,
x=+-2p/3+2pn, n E Z
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Answers & Comments
Ответ: p/2+pn; 2pn; + - 2p/3 +2pn, n E Z
Объяснение:
10) 4cos^3x-(2cos^2x-1) -2cosx -1=0
4cos^3x-2cos^2x+1-2cosx-1=0, 2cosx(2cos^2x-cosx-1)=0
cosx=0, x=p/2 +pn, 2cos^2x-cosx-1=0, cosx=y, 2y^2-y-1=0,
D=1+8=9, y=(1+-3)/4, y1=1, y2=-1/2, cosx=1, x=2pn, cosx= -1/2,
x=+-2p/3+2pn, n E Z