Find the reference angle, the quadrant of the terminal side, and the sine and cosine of $\frac{3 \pi}{4}$. Enter the exact answers. The terminal side of the angle $\frac{3 \pi}{4}$ lies in quadrant Click for List $\quad$. For the number $\pi$, either choose $\pi$ from the drop-down menu (under $\alpha$ ) or type in Pi (with a capital P). Its reference angle is \[ \begin{array}{l} \sin \left(\frac{3 \pi}{4}\right)= \\ \cos \left(\frac{3 \pi}{4}\right)= \end{array} \] 면만.

Step 1 ：Define the angle as \( \frac{3 \pi}{4} \)

Step 2 ：Calculate the sine and cosine of the angle using the math library in Python

Step 3 ：Print the quadrant, reference angle, sine and cosine

Step 4 ：Confirm that the angle \( \frac{3 \pi}{4} \) lies in the second quadrant, its reference angle is \( \frac{\pi}{4} \), and its sine and cosine are \( \frac{\sqrt{2}}{2} \) and \( -\frac{\sqrt{2}}{2} \) respectively

Step 5 ：Final Answer: The terminal side of the angle \( \frac{3 \pi}{4} \) lies in the second quadrant. Its reference angle is \( \frac{\pi}{4} \). The sine of \( \frac{3 \pi}{4} \) is \( \boxed{\frac{\sqrt{2}}{2}} \) and the cosine of \( \frac{3 \pi}{4} \) is \( \boxed{-\frac{\sqrt{2}}{2}} \)