\begin{tabular}{l} In which quadrant does the terminal side of a \( \frac{\pi}{4} \) radian angle in standard position lie? \\ Quadrant I \\ Quadrant II \\ \hline Quadrant IV \\ \hline\end{tabular}

The terminal side of a \( \frac{\pi}{4} \) radian angle, which is equivalent to 45 degrees, lies in Quadrant I. In this quadrant, both the x-coordinates and y-coordinates are positive, making it a lively and vibrant part of the coordinate plane! If you’re ever confused about angles, remember that angles measured in radians can be converted to degrees using the conversion factor \( \frac{180}{\pi} \). This means that \( \frac{\pi}{4} \) is just a quarter of a full rotation, landing you right in the first quadrant where all the positive vibes and helpful trig functions like sine and cosine (both equal to \( \frac{\sqrt{2}}{2} \)) thrive!