Here is the graph of the polar equation \( r = 4 \sin^2(\theta) \). The shape reflects the behavior of the sine function squared, creating a symmetric curve.

Would you like more details about how this graph was created or what the shape represents?

Here are 5 related questions:
1. How do you convert polar equations to Cartesian coordinates?
2. What does squaring the sine function do to the graph of a polar equation?
3. How would the graph change if you modified the equation to \( r = 4 \sin(\theta) \)?
4. What are the properties of polar graphs based on trigonometric functions?
5. Can you generalize this graph for other trigonometric identities?

**Tip:** Polar coordinates often give rise to beautiful symmetric curves, especially when trigonometric functions are involved!

Explore the graph of the polar equation r = 4 sin^2(θ), a symmetric curve based on trigonometric functions. This problem focuses on graphing in polar coordinates and understanding the behavior of the sine function squared. Ideal for students in Grades 10-12.

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