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The given function is:

\[
f(x) = \frac{\sin x}{1 + \cos x}
\]

Would you like me to:

1. Differentiate this function?
2. Find its domain and range?
3. Simplify or manipulate it in some other way?
4. Discuss its behavior or graph?

Feel free to specify the next steps! Additionally, here are 5 related questions to deepen the understanding:

1. What are the critical points of \( f(x) \) and how do they affect the graph?
2. How would you evaluate the limit of \( f(x) \) as \( x \to 0 \)?
3. Can you identify any vertical or horizontal asymptotes of \( f(x) \)?
4. How would you find the derivative of \( f(x) \) using the quotient rule?
5. What is the behavior of \( f(x) \) as \( x \to \infty \) or \( x \to -\infty \)?

**Tip:** Understanding trigonometric identities, such as \( \sin^2 x + \cos^2 x = 1 \), can help simplify complex trigonometric expressions like this one.

Find or analyze the function f(x) = sin(x) / (1 + cos(x))

Explore the trigonometric function f(x) = sin(x) / (1 + cos(x)). This problem includes key topics such as quotient rule for differentiation, limits, and critical points in trigonometric functions. Suitable for high school students in Grades 10-12.

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