Answer: Starting with 2(tan x - sqrt(3)) = 2:
First, divide both sides of the equation by 2 to simplify:
tan x - sqrt(3) = 1
Next, add sqrt(3) to both sides:
tan x = 1 + sqrt(3)
To solve for x, we need to take the arctan of both sides:
x = arctan(1 + sqrt(3))
In degrees, this is:
x = 75 degrees
In radians, this is:
x = 5π/12 radians
Explanation: