Find the reference angle for the given angle. (a) $\frac{7 \pi}{10}$ (b) $\frac{11 \pi}{8}$ (c) $\frac{10 \pi}{3}$

Step 1 ：Given angle is \( \frac{7 \pi}{10} \), which is in the second quadrant (because it is greater than \( \frac{\pi}{2} \) but less than \( \pi \)). So, the reference angle is \( \pi - \frac{7 \pi}{10} \).

Step 2 ：Calculating the reference angle, we get \( \frac{3 \pi}{10} \).

Step 3 ：Given angle is \( \frac{11 \pi}{8} \), which is in the third quadrant (because it is greater than \( \pi \) but less than \( \frac{3\pi}{2} \)). So, the reference angle is \( \frac{11 \pi}{8} - \pi \).

Step 4 ：Calculating the reference angle, we get \( \frac{3 \pi}{8} \).

Step 5 ：Given angle is \( \frac{10 \pi}{3} \), which is more than \( 2\pi \). We first need to find the coterminal angle that lies within \( 0 \) to \( 2\pi \). We can do this by subtracting \( 2\pi \) from \( \frac{10 \pi}{3} \) until we get an angle that lies within \( 0 \) to \( 2\pi \).

Step 6 ：Calculating the coterminal angle, we get \( \frac{4 \pi}{3} \).

Step 7 ：Since \( \frac{4 \pi}{3} \) is in the third quadrant (because it is greater than \( \pi \) but less than \( \frac{3\pi}{2} \)), the reference angle is \( \frac{4 \pi}{3} - \pi \).

Step 8 ：Calculating the reference angle, we get \( \frac{\pi}{3} \).

Step 9 ：So, the reference angles for \( \frac{7 \pi}{10} \), \( \frac{11 \pi}{8} \), and \( \frac{10 \pi}{3} \) are \( \boxed{\frac{3 \pi}{10}} \), \( \boxed{\frac{3 \pi}{8}} \), and \( \boxed{\frac{\pi}{3}} \) respectively.