Evaluate: (i) `cos{sin^(-1)(-7/(25))}` (ii) `sec{cot^(-1)(-5/(12))}` (iii) `cot{sec^(-1)(-(13)/5)}`

Explanation

Let's evaluate each part step by step.

### (i) Evaluate \( \cos(\sin^{-1}(-\frac{7}{25})) \)

1. **Let \( \theta = \sin^{-1}(-\frac{7}{25}) \)**.
- This means \( \sin(\theta) = -\frac{7}{25} \).

2. **Use the Pythagorean identity**:
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