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The text in the image asks to compute the value of the trigonometric function \( \sin\left(\frac{\pi}{4}\right) \).

### Solution:
The sine of \( \frac{\pi}{4} \) is a standard value in trigonometry:

\[
\sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}.
\]

### Final Answer:
\[
\text{Value is: } \frac{\sqrt{2}}{2}.
\]

Would you like additional explanation or assistance with similar trigonometric problems?

Here are 5 related questions to consider:
1. What is the value of \( \cos\left(\frac{\pi}{4}\right) \)?
2. How can we derive the exact value of \( \sin\left(\frac{\pi}{4}\right) \)?
3. What are the sine values for other key angles like \( \frac{\pi}{6} \) or \( \frac{\pi}{3} \)?
4. How does \( \sin\left(\frac{\pi}{4}\right) \) relate to the unit circle?
5. How do you use the sine function in practical applications?

**Tip**: Memorizing key trigonometric values for angles \( \frac{\pi}{6}, \frac{\pi}{4}, \frac{\pi}{3} \) can simplify solving many problems!

What is the value of the trigonometric function sin(π/4)?

Discover the exact value of sin(π/4), a standard trigonometric function for special angles. This problem includes key concepts in trigonometry and is suitable for students in Grades 9-11.

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