If `cotA=5/12` and A lies in 3rd quadrant, then find the values of five other trignometric ratios.

Explanation

To find the values of the five other trigonometric ratios given that \( \cot A = \frac{5}{12} \) and \( A \) lies in the third quadrant, we can follow these steps:

### Step 1: Determine \( \tan A \)
Since \( \cot A = \frac{1}{\tan A} \), we can find \( \tan A \) as follows:
\[ \tan A = \frac{1}{\cot A} = \frac{1}{\frac{5}{12}} = \frac{12}{5} \]

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