Answer:
cos(11π/3) = 1/2
Step-by-step explanation:
To find the value of cos(11π/3), we first need to find a coterminal angle. This is because 11π/3 is greater than 2π, which is the angle of the complete circle. Then, we can find the coterminal angle as
11π/3 - 2π = 5π/3
Now, we need to find cos(5π/3), so we will use the unit circle as follows
Therefore, the value of cosine is the first coordinate of the point in the unit circle. It means that
cos(5π/3) = 1/2
Then, cos(11π/3) = 1/2
So, the answer is
cos(11π/3) = 1/2