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4cos^2x+4cosx-3=0
Sustituimos cosx=y
4y^2+4y-3=0
Factorizamos y resolvemos:
(2y+3)(2y-1)=0
y=-3/2, y=1/2
Regresamos a cosx=y:
cosx=-3/2, cosx=1/2
x=cos^-1(3/2), x=cos^-1(1/2)
x=Indetermiando, x=π/3