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Let's solve each of the sine values using the provided options.

1. **sin 30°** = \( \frac{1}{2} \)
2. **sin 45°** = \( \frac{1}{\sqrt{2}} \) or rationalized as \( \frac{\sqrt{2}}{2} \)
3. **sin 60°** = \( \frac{\sqrt{3}}{2} \)

Therefore, the correct assignments are:

- **a) sin 30° = \( \frac{1}{2} \)**
- **b) sin 45° = \( \frac{1}{\sqrt{2}} \)**
- **c) sin 60° = \( \frac{\sqrt{3}}{2} \)**

Would you like further details or have any questions?

Here are five related questions:
1. What is the value of sin 90°?
2. How do you derive the sine values of common angles using the unit circle?
3. What are the cosine values for 30°, 45°, and 60°?
4. Why is rationalizing \( \frac{1}{\sqrt{2}} \) common in mathematics?
5. How does the sine function behave for angles greater than 90°?

**Tip:** Knowing the sine and cosine of standard angles (30°, 45°, 60°, etc.) is fundamental in trigonometry. You can use symmetry properties of the unit circle to find values for angles outside the first quadrant.

Copy and complete each of the equalities below using the options given: sin 30°, sin 45°, sin 60°.

Learn how to find the sine values of 30°, 45°, and 60°. This problem involves basic trigonometric concepts and helps you master the sine function for special angles. Perfect for students in Grades 9-12.

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