If `cot theta = 7/8` , evaluate :
`cot^2 theta`

Answer

To solve the problem where we need to evaluate \( \cot^2 \theta \) given that \( \cot \theta = \frac{7}{8} \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the given information**: We know that \( \cot \theta = \frac{7}{8} \).

2. **Square the value of \( \cot \theta \)**: To find \( \cot^2 \theta \), we need to square the value of \( \cot \theta \).
\[ \cot^2 \theta = \left( \cot \theta \right)^2 = \left( \frac{7}{8} \right)^2 \]

3. **Calculate the square**: Now, calculate \( \left( \frac{7}{8} \right)^2 \).
\[ \cot^2 \theta = \frac{7^2}{8^2} = \frac{49}{64} \]

4. **Final result**: Therefore, the value of \( \cot^2 \theta \) is:
\[ \cot^2 \theta = \frac{49}{64} \]

### Final Answer:
\[ \cot^2 \theta = \frac{49}{64} \]