Final answer:
The reference angle for 11π/6 is π/6 radians, which corresponds to 30 degrees. This is found by subtracting 11π/6 from 2π, as the angle is in the 4th quadrant of the unit circle.
Step-by-step explanation:
The reference angle for an angle measured in radians is the acute angle (less than 90 degrees or π/2 radians) that it makes with the x-axis. To find the reference angle for 11π/6, we first note that it is located in the 4th quadrant because 11π/6 is greater than 3π/2 (the beginning of the 4th quadrant) but less than 2π (a full revolution).
The reference angle of 11π/6 can be found by subtracting the angle from the nearest multiple of π/2 (90 degrees) or π (180 degrees). In this case, we can find the reference angle by subtracting 11π/6 from 2π.
To find the reference angle of 11π/6, subtract this angle from 2π (a full circle in radians):
2π - 11π/6 = 12π/6 - 11π/6 = π/6.
Therefore, the reference angle of 11π/6 is π/6 radians, which corresponds to 30 degrees.