To solve this equation, we need to first simplify the left side of the equation:
cos(4x - 10) / 4 = √2 / 2
Dividing both sides by 1/4 (or multiplying both sides by 4), we get:
cos(4x - 10) = 2√2
To find the value of x, we need to take the inverse cosine of both sides:
4x - 10 = arccos(2√2)
Now, isolate x by solving for x:
4x = 10 + arccos(2√2)
x = (10 + arccos(2√2)) / 4
This is the solution for x in the given equation.
To solve this equation, we need to first simplify the left side of the equation:
cos(4x - 10) / 4 = √2 / 2
Dividing both sides by 1/4 (or multiplying both sides by 4), we get:
cos(4x - 10) = 2√2
To find the value of x, we need to take the inverse cosine of both sides:
4x - 10 = arccos(2√2)
Now, isolate x by solving for x:
4x = 10 + arccos(2√2)
x = (10 + arccos(2√2)) / 4
This is the solution for x in the given equation.