2cos²x + cosx - 1 = 0
That factors as:
[2cos(x) - 1][cos(x) + 1] = 0
2cos(x) - 1 = 0; cos(x) + 1 = 0
2cos(x) = 1; cos(x) = -1
cos(x) = ;
If in degrees cos(x) = has general solution
x = 60°+360°*k, and 300°+360°k
in radians
x = + and +
If in degrees cos(x) = -1 has general solution
x = 180°+360°*k
in radians
x = +
Edwin