To solve this equation, we can set each factor equal to zero and solve for x:
1) 2cos(x) - 1 = 02cos(x) = 1cos(x) = 1/2x = π/3, 5π/3
2) cos(2x) + 1 = 0cos(2x) = -12x = πx = π/2
Therefore, the solutions to the equation are x = π/3, 5π/3, and π/2.
To solve this equation, we can set each factor equal to zero and solve for x:
1) 2cos(x) - 1 = 0
2cos(x) = 1
cos(x) = 1/2
x = π/3, 5π/3
2) cos(2x) + 1 = 0
cos(2x) = -1
2x = π
x = π/2
Therefore, the solutions to the equation are x = π/3, 5π/3, and π/2.