https://file.aiquickdraw.com/mathbot/file/1725575982268qcal5yrm.jpg

The expression shown in the image is \( \sin \left( \frac{\pi}{4} \right) \).

To evaluate \( \sin \left( \frac{\pi}{4} \right) \), recall that:

\[
\sin \left( \frac{\pi}{4} \right) = \sin 45^\circ = \frac{\sqrt{2}}{2}
\]

Thus, the value of \( \sin \left( \frac{\pi}{4} \right) \) is \( \frac{\sqrt{2}}{2} \).

Would you like more details or further clarifications?

Here are some related questions you might find helpful:

1. How do you evaluate other trigonometric functions at common angles?
2. What are the values of sine, cosine, and tangent for \( \frac{\pi}{6} \) and \( \frac{\pi}{3} \)?
3. Can you explain how to derive the exact value of \( \sin \left( \frac{\pi}{4} \right) \) geometrically?
4. How does the unit circle help in determining trigonometric values?
5. What are the key differences between sine and cosine functions in terms of symmetry?

**Tip:** Memorizing the values of sine, cosine, and tangent for standard angles like \( 30^\circ, 45^\circ, \) and \( 60^\circ \) can simplify many trigonometric calculations.

Discover how to find the value of sin(π/4) using trigonometric principles. This tutorial covers key concepts in trigonometry, including the use of the unit circle and common angle values. Ideal for students in Grades 9-12.

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