To evaluate \( \sin 30^\circ + \cos 45^\circ \), we can use the known values of these trigonometric functions:

1. \( \sin 30^\circ = \frac{1}{2} \)
2. \( \cos 45^\circ = \frac{\sqrt{2}}{2} \)

Now, adding them together:

\[
\sin 30^\circ + \cos 45^\circ = \frac{1}{2} + \frac{\sqrt{2}}{2}
\]

Combining the terms, we get:

\[
\sin 30^\circ + \cos 45^\circ = \frac{1 + \sqrt{2}}{2}
\]

Thus, the answer is:

\[
\frac{1 + \sqrt{2}}{2}
\]

Would you like more details, or do you have any questions?

Here are some related questions:
1. How would you compute \(\sin 45^\circ + \cos 30^\circ\)?
2. What is the value of \(\sin 45^\circ + \cos 45^\circ\)?
3. Can you find \(\sin 60^\circ + \cos 30^\circ\)?
4. How is the identity \(\sin^2 x + \cos^2 x = 1\) useful in similar problems?
5. How would you simplify expressions like \(\sin 30^\circ \cdot \cos 45^\circ\)?

**Tip:** Memorizing common trigonometric values (like those for 30°, 45°, and 60°) can save you time in calculations.

Learn how to evaluate SIN30 + COS45 by using known trigonometric values. This problem involves evaluating the sine of 30° and the cosine of 45°, which are common values in trigonometry. Suitable for high school students in Grades 9-10.

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