To solve the equation 2cos(x/4 - π/3) = -1, we first need to isolate the cosine term by dividing both sides by 2:cos(x/4 - π/3) = -1/2
Next, recall that the cosine function has a value of -1/2 at an angle of 2π/3. Therefore, we can write:x/4 - π/3 = 2π/3
Now, we solve for x:x/4 = π/3 + 2π/3x/4 = πx = 4π
So, the solution to the equation 2cos(x/4 - π/3) = -1 is x = 4π.
To solve the equation 2cos(x/4 - π/3) = -1, we first need to isolate the cosine term by dividing both sides by 2:
cos(x/4 - π/3) = -1/2
Next, recall that the cosine function has a value of -1/2 at an angle of 2π/3. Therefore, we can write:
x/4 - π/3 = 2π/3
Now, we solve for x:
x/4 = π/3 + 2π/3
x/4 = π
x = 4π
So, the solution to the equation 2cos(x/4 - π/3) = -1 is x = 4π.