Cos(2x-pi/6)= cos căn 2/2

To solve the equation cos(2x - π/6) = √2/2, we can use the identity cos(π/4) = √2/2.

First, let's rewrite the equation using the identity:
cos(2x - π/6) = cos(π/4)

Now, we can equate the angles inside the cosine function:
2x - π/6 = π/4

Next, let's solve for x:
2x = π/4 + π/6
2x = 3π/12 + 2π/12
2x = 5π/12

Dividing both sides by 2:
x = 5π/24

So, the solution to the equation cos(2x - π/6) = √2/2 is x = 5π/24.