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In the unit circle, the sine of an angle \( \theta \) is the \( y \)-coordinate of the point where the terminal side of the angle intersects the unit circle.

In the diagram, the point on the unit circle is given as \( (-0.438, 0.899) \). Since the sine of \( \theta \) corresponds to the \( y \)-coordinate, we can conclude:

\[
\sin(\theta) = 0.899
\]

Would you like further details or have any additional questions?

Here are 5 related questions:
1. What is the value of \( \cos(\theta) \) in this unit circle diagram?
2. How is the sine function related to the unit circle's radius?
3. What would the value of \( \sin(\theta) \) be for an angle of \( 180^\circ \)?
4. Can you explain how the unit circle helps in finding the sine and cosine of angles beyond \( 90^\circ \)?
5. What is the significance of the negative \( x \)-coordinate in this case?

**Tip:** Remember, on the unit circle, \( \sin(\theta) \) is always the \( y \)-coordinate, and \( \cos(\theta) \) is the \( x \)-coordinate.

What is the value of sin θ in the unit circle diagram with the point (-0.438, 0.899)?

Learn how to determine the value of sin θ using the unit circle and the point (-0.438, 0.899). This trigonometry problem covers key concepts such as the unit circle and the sine function. Suitable for high school students in Grades 10-12.

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