To calculate \( \sin 30^\circ + \sin 60^\circ \), we can use the known values of these trigonometric functions:

\[
\sin 30^\circ = \frac{1}{2}
\]
\[
\sin 60^\circ = \frac{\sqrt{3}}{2}
\]

Now, add them together:

\[
\sin 30^\circ + \sin 60^\circ = \frac{1}{2} + \frac{\sqrt{3}}{2} = \frac{1 + \sqrt{3}}{2}
\]

So, \( \sin 30^\circ + \sin 60^\circ = \frac{1 + \sqrt{3}}{2} \).

Would you like further details or have any questions?

Here are five related questions:

1. What is the value of \( \cos 30^\circ + \cos 60^\circ \)?
2. How do you find the sine of other common angles, like \( 45^\circ \) or \( 90^\circ \)?
3. Can you explain the relationship between sine and cosine for complementary angles?
4. What is the result of \( \sin 45^\circ + \sin 45^\circ \)?
5. How does the unit circle help in finding the values of trigonometric functions?

**Tip:** Memorizing the sine and cosine values for common angles like \( 30^\circ \), \( 45^\circ \), and \( 60^\circ \) can make solving trigonometric problems much faster.

Learn how to calculate sin(30°) + sin(60°) using trigonometric functions. Understand the addition formula for sine and apply it to find the result. Suitable for high school students studying trigonometry.

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