\( 1 \leftarrow \quad \) Find the reference angle for \( \frac{5 \pi}{4} \). The reference angle is \( \square \). (Simplify your answer. Use integers or fractions for any numbers in the ex

To find the reference angle for \( \frac{5\pi}{4} \), first, identify the quadrant in which the angle lies. Since \( \frac{5\pi}{4} \) is greater than \( \pi \) (or \( \frac{4\pi}{4} \)) and less than \( \frac{3\pi}{2} \) (or \( \frac{6\pi}{4} \)), it is in the third quadrant. The reference angle is calculated by subtracting \( \pi \) from \( \frac{5\pi}{4} \): \[ \text{Reference angle} = \frac{5\pi}{4} - \pi = \frac{5\pi}{4} - \frac{4\pi}{4} = \frac{\pi}{4}. \] The reference angle is \( \frac{\pi}{4} \).