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### Problem:
**Simplify \(\sec(\theta) \cdot \cot(\theta)\) to a single trigonometric function.**

### Solution:
To simplify \(\sec(\theta) \cdot \cot(\theta)\), let's express each trigonometric function in terms of sine and cosine:

1. **Secant Function:**
   \[
   \sec(\theta) = \frac{1}{\cos(\theta)}
   \]

2. **Cotangent Function:**
   \[
   \cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}
   \]

Now, multiply these two expressions:
\[
\sec(\theta) \cdot \cot(\theta) = \left(\frac{1}{\cos(\theta)}\right) \cdot \left(\frac{\cos(\theta)}{\sin(\theta)}\right)
\]

The \(\cos(\theta)\) terms cancel out:
\[
\sec(\theta) \cdot \cot(\theta) = \frac{1}{\sin(\theta)} = \csc(\theta)
\]

### Final Answer:
\[
\sec(\theta) \cdot \cot(\theta) = \csc(\theta)
\]

Would you like further details on any part of this solution?

### Related Questions:
1. How can you express all trigonometric functions in terms of sine and cosine?
2. What is the significance of reciprocal trigonometric identities?
3. Can \(\sec(\theta) \cdot \cot(\theta)\) be simplified further if \(\theta\) is given?
4. How do you simplify expressions involving multiple trigonometric functions?
5. What are some common trigonometric identities used in simplifying expressions?

### Tip:
When simplifying trigonometric expressions, converting all functions to sine and cosine often reveals simplifications that might not be immediately obvious.

Learn how to simplify sec(theta) * cot(theta) to a single trigonometric function with a step-by-step solution. This problem covers trigonometric identities, including secant, cotangent, and cosecant functions. Suitable for advanced high school students and beyond.

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