Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.

Explanation

To express the trigonometric ratios sin A, sec A, and tan A in terms of cot A, we can use the fundamental trigonometric identities. Let's go through the steps one by one.

### Step 1: Express sin A in terms of cot A
We start with the Pythagorean identity:
\[ \sin^2 A + \cos^2 A = 1 \]

Now, we know that:
\[ \cot A = \frac{\cos A}{\sin A} \]
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