If $$ \cot (t)=3.6 $$, what is $$ \cot (-t) ? $$

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To find $$ \cot(-t) $$ given that $$ \cot(t) = 3.6 $$, we can use the properties of trigonometric functions:

1. **Even and Odd Functions:**
   - The cosine function is **even**, meaning $$ \cos(-t) = \cos(t) $$.
   - The sine function is **odd**, meaning $$ \sin(-t) = -\sin(t) $$.

2. **Cotangent Function:**
   - The cotangent function is defined as $$ \cot(t) = \frac{\cos(t)}{\sin(t)} $$.

Using these properties:

$$
\cot(-t) = \frac{\cos(-t)}{\sin(-t)} = \frac{\cos(t)}{-\sin(t)} = -\frac{\cos(t)}{\sin(t)} = -\cot(t)
$$

Given that $$ \cot(t) = 3.6 $$, it follows:

$$
\cot(-t) = -3.6
$$

**Answer:** $$-3.6$$
$$\cot(-t) = -3.6$$

If \( \cot (t)=3.6 \), what is \( \cot (-t) ? \)

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