Final answer:
To find the reference angle for 11π/8, subtract it from 2π to get 5π/8, which is the reference angle in the fourth quadrant.
Step-by-step explanation:
The reference angle for 11π/8 can be found by subtracting π from 11π/8 since the reference angle is the angle between the terminal side of the given angle and the x-axis. So, the reference angle would be 11π/8 - π = 3π/8.
The reference angle for an angle in trigonometry is the acute angle that the terminal side makes with the x-axis. It is always between 0° and 90° or 0 and π/2 radians. To find the reference angle for 11π/8, you first determine the angle's location on the unit circle.
Since 11π/8 is more than π (but less than 2π), it lies in the fourth quadrant. The reference angle is then calculated by subtracting the angle from 2π.
Reference angle for 11π/8:
2π - 11π/8 = 16π/8 - 11π/8 = 5π/8.