2 cos x - 1 =0

x = cos^-1 0.5

60 degrees is one answer; there is one other between 0 and 360 degrees.

ya drwls is right haha

To solve the equation 2cos(x) - 1 = 0, we need to isolate the variable cos(x). Follow these steps to find the solution:

Step 1: Add 1 to both sides of the equation:
2cos(x) = 1

Step 2: Divide both sides of the equation by 2:
cos(x) = 1/2

Now, to find the possible values of x that satisfy this equation, we can use the inverse cosine function (cos⁻¹).

Step 3: Take the inverse cosine of both sides of the equation:
x = cos⁻¹(1/2)

The inverse cosine function (cos⁻¹) can be used to find the angle whose cosine is equal to a given value. In this case, we want to find the angle whose cosine is equal to 1/2.

Step 4: Calculate the inverse cosine of 1/2 using a calculator or reference table.
cos⁻¹(1/2) ≈ 60° or π/3 radians

Therefore, the solution to the equation 2cos(x) - 1 = 0 is x ≈ 60° or π/3 radians.