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.