The cosecant function, \( \csc(\theta) \), is the reciprocal of the sine function, so:

\[
\csc(\theta) = \frac{1}{\sin(\theta)}
\]

For \( \theta = \pi \):

\[
\sin(\pi) = 0
\]

Thus:

\[
\csc(\pi) = \frac{1}{\sin(\pi)} = \frac{1}{0}
\]

Since division by zero is undefined, \( \csc(\pi) \) is also undefined.

Would you like more details on trigonometric functions or have any questions? Here are some related questions:

1. What is the value of \( \csc(\frac{\pi}{2}) \)?
2. How do you calculate the sine of common angles like \( \frac{\pi}{3} \) or \( \frac{\pi}{4} \)?
3. What is the relationship between cosecant and secant functions?
4. How can the unit circle help in understanding trigonometric functions?
5. What are the undefined points for other trigonometric functions like \( \tan(\theta) \) or \( \sec(\theta) \)?

**Tip:** Always remember that \( \csc(\theta) \) is undefined when \( \sin(\theta) = 0 \).

Explore the evaluation of the cosecant function at π and understand why \( \csc(\pi) \) is undefined due to division by zero. This problem involves trigonometric concepts and formulas. Suitable for students in Grades 11-12.

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